I guess burns have some use for better matching supply and demand especially with the high inflation tokens that have limited demand.

The problem with most tokens is that there's limited demand beyond a small community of users. Take Hive for example - roughly 50,000 active users per month according to the latest report from arcange.

r/wallstreetbets has 10m degens alone and the dogefather is worth more than all the doge that's out there.

One final thought: rather than burning tokens (especially low-liquidity tokens, like POB), wouldn’t it be better if those tokens were used to fund a liquidity poo

Yes, I think funding a liquidity pool or an incubator to encourage building on pob would be putting those votes to better use.