A bitcoin style emission means the circulating money supply will continue to decrease. As block reward decreases miners will become more and more dependent on tx fees. Eventually the transaction fees will be so expensive the transaction won't be worth conducting. You must have a steady debasement or even the smallest currency unit will eventually be too valuable. Ideally, there shouldn't be any tx fees at all.

Bitcoin is only maintaining its circulating supply because new coins are still being created. However, with mining becoming more and more privileged and block reward decreasing, the circulating wealth will dry up and a tx fees will spiral out of control.