A quart a week is excessive for normal driving habits, but what a lot of folks seem to be missing is that the OP puts 30k miles per year on this car. For what normal folks drive, it’s more like the equivalent of a quart every month or so.
When you are losing oil like that, you’re most likely either talking about a leak (which the OP has said wasn’t the case in their car) or well worn piston rings. Those advocating getting this fixed seem to be ignoring the fact that redoing the piston rings is basically an engine rebuild. It’s not a $400 job. This is more like a $2000 to $3000 job. You have to go through an awful lot of oil before an engine rebuild makes any kind of economic sense. The OP is probably better off running the car into the ground and buying a new one.
On most cars, getting the oil changed regularly isn’t anywhere near as crucial as some folks make it out to be. I had an old Nissan pickup truck, and like most Nissan pickup trucks, the thing ran forever but rusted apart. A friend of mine nicknamed it the Bondo Bandit and refused to park next to it. When it got to 200k miles, I stopped doing all maintenance on it, including oil changes, and waited for it to die so that I could get a new truck. It went for 5 years and over 60,000 miles without an oil change. Never lost a drop of oil, and had no engine problems at all. The fuel pump (which is in the gas tank, not related to the engine at all) finally went out on it. I could have fixed it fairly easily, but I used that as an excuse to finally junk it.
Note that I’m not recommending that you ever do this to one of your vehicles, just showing that as long as you’ve got oil in the engine, even old oil, chances are you aren’t going to do any major damage.
Some engines, however, have a tendency to build up sludge. If you don’t change the oil on these regularly, the sludge builds up and blocks the flow of oil, and then the engine self-destructs from the lack of lubrication. No cite, but I’ve heard that a lot of Toyota engines fall into this category.
Based on the potential sludge issue, if I were the OP, I would probably change the oil every 3 months or so. That’s a bit more than every 5,000 miles, but should be often enough to prevent any sludge problems.
That’s just my opinion, though.
For a factual GQ response, no, there is no consensus on what to do here. A lot of mechanics fall into the category of YOU MUST CHANGE THE OIL OFTEN OR ELSE VERY BAD THINGS HAPPEN and a lot of others are like eh, don’t worry about it so much. I’m just an idiot back yard mechanic, but I’m in the latter category.
I have a Dodge Dakota pickup that was basically in the same shape as the OP’s Toyota. I had to put a quart of oil in every month or so (I drive it a lot fewer miles than the OP). It’s run that way for about 100k miles (it has a total of just shy of 200k miles on it now). I changed the oil about every six months. The engine still runs fine. The frame, on the other hand, is not so fine. The part that holds the rear leaf spring in place rusted and snapped, and the frame cross member in the back also rusted and snapped. So basically the only thing holding the back of the truck together is the weight of the bed on top of the suspension. So now it’s sitting in my driveway waiting to get scrapped.