I am well aware of coins with controlled inflation like BTC, where a finite number of coins will be generated at a controlled rate.
Contrary to popular belief, deflationary coins and tokes are not due to diminshing emission, but rather to having a higher emission than demand. It is a concept that is frequently misunderstood.
You are right. One need to understand this fact also. Initially the supply of deflationary coins are way more then demand. with time supply will go down creating scarcity. It will time though.