I wish the mining rate would taper off, but never go to 0.
Right now, BTC has eight decimal places. If that gets expanded within the next couple decades, mining will continue to generate coins for much longer than the "early-mid 22nd century" cutoff in the current algorithm. Granted, it'd still asymptotically approach 21 million coins. Just that instead of the block reward going to zero, it'll go to a small number that'd round to zero.
If you're asking for no asymptote - for endless growth - well, there's a lot of folks who would never have signed on if BTC wasn't provably scarce the way it is.