If you like the "limited supply" thing (I don't) you might be interested to know that other chains exist that can even have negative issuance, and while there is a plan to eventually stop issuing BTC, right now the supply of BTC is actually increasing (1.72% at the moment i think).
Ultimately if you want people to hold your cryptocurrency as a store of value rather than spend it, and you are using an expensive means like POW to secure the chain, then its going to be difficult to pay for securing the chain just with transaction fees, calling the whole "limited supply" thing into question.
If you don't have issuance then the cost of securing the chain for all the people with value on the chain is an externality bourne entirely by those making transactions. Unless you have a plan to keep demand for transacting extremely high then the chain is unsustainable.