proof of stake reward feature token can survive and keep increase it's price.
Proof of stake .... TOKEN. If you are just a token you dont need proof of stake. You are just a token on a chain that use proof of stake or proof of work mechanism. You dont need to aply them too.
I hate tokens (will never invest in such token) that has build in mechanism that use high inflation to build false value. There is no value for investors in inflating whole circulating supply by 10x... This does not build value. this build false value for not so bright investors.
If your project has use case - use it to generate profit - share it with token hodlers. Simple as that. Like BNB is doing it. Binance generates profits and use it for buybacks.