I’m going to chalk this up to being in a former Soviet Republic.
So if I understand you correctly, where I see a “typical” three-prong UK plug, you see a “modern” UK plug, and the older variants differ subtly? And I would only see them when in an old house or on an old appliance?
The only differences I know of here are electric stoves, which have a seperate power line by themselves - I think 16 A? - and a seperate breaker, because they draw so much power. But that’s the landlord/ houseowners Job, to pay qualfied workers to properly install the stove, and then each renter just gets the existing (correctly wired) stove.
Go Independent with a Generator? 
Is the weather good enough for a solar Panel?
If you are a renter, can you legally require your landlord to fix the sockets?
How much do you trust the wiring? If the wiring is Standard, you could buy modern wall sockets that fit your plugs at the DIY market, turn off the breaker, and Switch them against the old ones?
Ah, now I see what you mean. I was talking about the ungrounded flat ones. Sorry for the confusion! 
All the old types were ‘round-pin’ ones. None of them had fuses and relied on protection from an appropriate-sized wire-wound fuse at the fusebox. Appliances all came without a plug and you were supposed to buy the correct one separately and put it on yourself.
In recent years they have mandated that all appliances must come with a plug fitted (usually permanently fitted) and it will usually be the BS1363 type. Although the desk lamps we got at the office all came with a European two-pin type and an adaptor to convert it to the British system. I bought an identical one for home, cut the plug off and put a proper one on.
I wonder if your comment about Italy here may explain some minor confusion for me. I have used this exact adapter in France, Belgium, Spain, Netherlands, Denmark, Austria, Hungary AND Italy without any problems.
Until I looked at the page with all the types of plugs and sockets linked upthread I didn’t even realize Italy was an odd case. And now looking at the page for that product on Amazon I see it says it doesn’t work in Italy but I know for a fact that it does. Or at least did in 2016.
I could post pictures that would curl your hair. Even at the power poles it is a complete rat’s nest. Sagging power lines? String up a rope between poles and use zipties to support it. I don’t think I’ve seen a wire nut, just twist the bare ends of the wires together. Don’t even bother with electrical tape.
Love the people though. A real git-r-done spirit.
Well, Italy officially uses type L, although this list also indicates C and F. The profile of the jack for L is the same as for type C, but it’s got three prongs.
Extraofficially, they also use types E and J along with the previous three. Type J is the Swiss type: I expect it won’t surprise you to learn that it happens to be common close to the Swiss border. Type E is used in France; again, more common in the North of Italy than in the South.
E and F have this hybrid thing going on where computers and other electronic equipment often have plugs which are compatible with both types of sockets; your adapter is one of those. They’re also compatible with Cs but then you don’t have the grounding feature. Get a few sockets compatible with E and/or F around your factory and you’re able to source equipment from a lot more places without having to change the jacks. One of these centuries we’ll stop linking our national pride to the size of our electrical sockets… 
In that case, I would try and buy one of those very expensive, especially made for Computers, Extension socket chains, that protects against high-spike surges, and plug everything into that. Because if the wiring is … not up to code, plugs falling out of sockets would be less of a danger for me than a sudden spike frying my Hardware or starting a fire because the breakers aren’t up to it.
But then, our breaker boxes look like this Elektrischer Verteiler – Wikipedia and not like the Picture above, so an US style box would also raise my hair.
And I’ve seen Pictures of how poor Areas in US (Detroit?) also have tangles of loose wires hanging around over streets - like 3rd world countries - because of 4 different grids, and no political plan to overhaul, bring up to modern Standards and unifiy the electric System (which would also help distribute solar and wind energy everywhere).
dafuq?
I don’t know what you saw, but it ain’t Detroit. almost all of southeast Michigan is run by DTE Energy.
“4 different grids?”
The TV Report was some years back, so I don’t remember which US City it was.
A map of the US Shows 4 Major different Areas North American power transmission grid - Wikipedia (plus smaller ones). This is often brought up when talking about either renewable energy (producing wind on the coast, solar in the desert and then transporting the power to where it’s needed) or in relation to Brown-Outs (similar Problem, and unreliability of old infrastructure).
Both for reliability/ safety, and to help renewable energy, experts advocate a complete overhaus of the existing grid and replacing it with one grid of current safety Standard.
But like bridges and roads, that would a Major Investment of government Money, which (despite Advantages and Jobs) is difficult to pass in current political constellation.
An older article (2003) about the state of the US power grid: US-Blackout: Stromnetz wie in der Dritten Welt - DER SPIEGEL
This is from 2017, about how climate Change means more energy, thus putting an additional burden on the Grid US-Stromnetz: Klimawandel wird teuer - Mehrverbrauch durch künftige Sommerhitze erfordert teure Investitionen ins Stromnetz - scinexx.de
This is from 2012 - how the aftermath of Hurricane Sandy reveals (Yet again) how behind the times the power grid in US is ZEIT ONLINE | Lesen Sie zeit.de mit Werbung oder im PUR-Abo. Sie haben die Wahl.
Another Report before Sandy hit Infrastruktur: Marodes Amerika
And has DTE Energy switched from open-air wires to Underground wires?