He also use Pi in computers, e.g to draw circles, and computers (and displays) are even more discrete that nature.
Has he come up with something better to use in Pi's place?
That we don't use "all" of Pi to draw a circle doesn't matter, the "Pi" kind of circle is like the perfect archetype. We don't make the "perfect bridge" or the "perfect car" either, that doesn't mean the concept of bridges and cars is useless.