Let's go all the way and remove the bases completely and replace them with "vicinity circles." As long as the runner and fielder are in the "vicinity circle," it will count as if the fielder was on the "base."
Being on "base" can go the way of "dialing" a number on a phone or "taping" a movie.
We still use the words, but we forget why.
-PJ
“Vicinity Circles”! That’s funny!