Will CBDCs be able to be used on DEX’s?

Theoretically if there is a CBDC, shouldn’t there be some people that can figure out how to pool it with other cryptos with bridges or lock it up in a fund and issue a crypto coin?

People say CBDC bad but surely there is some interoperability that will come with it? And also, familiarity. Once people realise that their dollars are now on a blockchain, it might make bitcoin seem like an even more plausible money for the regular folk.

I’m not real familiar with how DEX’s and liquidity pools, stable coins etc all work fundamentally but it seems as though if there’s something on a blockchain, all it takes it some tinkering to tie it up with other crypto assets. I don’t see how it’s better than just buying USDT but maybe it will be better because it’s government backed stable coin.(lol) Who do we trust more? Tether or the government? I think tether is more trustworthy probably