By the thirties the nominal speed for almost all records was 78.26 RPM, but many were actually recorded at different speeds. The standard practice in remastering is to play the record back at a known speed (usually 78.26) as a starting point, and either speed it up or slow it down so that the recording in on-pitch.
It helps to know what key the piece was written in, or lacking that, what keys were likely to be used given the instruments involved. Even more important than that is the knowledge of what the instruments and the human voice naturally sound like.
The presence of voice makes it much easier, and fortunately we have that with Robert Johnson. A voice that’s played back too slowly will sound sluggish - the vowels will be drawn out unnaturally. Any vibrato will be too slow. The attacks on plosive consonants will be too long. The transitions between notes will be too drawn-out. It doesn’t sound like someone singing slowly - it sounds “off.”
You can also get some clues from the sounds of the instruments. Guitar, for example, has a fairly sharp attack. When played back too slowly, the attack will be drawn out and sound unnatural.
Some of those who claim that Johnson’s records were recorded 20% slow say it was done to fit Johnson’s songs on a single side because they tended to run long. This is not how things were done. They would control the groove pitch - the amount the stylus would move toward the center on each rotation. For longer-running records, they would set the groove pitch low in order to fit in more rotations (and thus more time).
For example, the article linked to above refers to Come on in My Kitchen. I looked it up on Youtube - here it is played at normal speed, and here it is slowed down by about 20%. The playing time of the former is 2:51, and the latter is 3:39. It was possible to fit three and a half minutes onto one side of a 78 in those days. It wasn’t common, but it could be done. The lack of deep bass on a recording like this makes it easier because the groove oscillations wouldn’t be very large.
In addition, the record companies wouldn’t have made special adjustments for someone as obscure as Robert Johnson when he was alive. Johnson is famous now, but at the time he wasn’t well-known and the record companies wouldn’t have expected to make a lot of money off of him. They would have put him in front of a microphone and told him to play.
As for tuning to the hum in the recording - this can work very well if the recording has hum. Many of them didn’t.