The thing is, there is a trade-off between making math (at any level) accessible to outsiders, and making things easier for the heavy practitioners.

For naming things after their inventors, you are very much losing accessibility to outsides (that includes mathematicians working outside the field). I could see the trade-off for clarity (for most people) not being big enough to off-set the loss in accessibility. The easier a field is to get into, the quicker it will grow. Moreover, it also makes the field a lot more fruitful to work in.