Only a year and a quarter later, I finally tried this. Two avocados submerged in water in a jar, in the fridge for over 4 weeks iirc.
Turns out the top one wasn’t fully submerged, and there was a film of something fungusy on top of the water where the avocado was peeping out. No matter, I washed it off, and the avocado still felt firm so I tried it. Not bad! It was 75% usable, which might have been its condition going in. The second (fully submerged) avocado is still to be used, maybe tomorrow, and I’ll report back.
Still, for many, many weeks after they were ready to use, that’s a stark difference from the alternative!