I think we’ll start to see a bunch of fintech companies use stablecoins for things, but as more of an implementation detail and not really a speculative market like it was before.
It's still pretty unclear to me why you'd actually want a blockchain for managing it though, rather than a traditional database hosted by the central bank that is responsible for the currency that the stablecoin is following. You'd get vastly more throughput at much lower costs, and it's not like you really need decentralization for such a system anyway. The stablecoin is backed by something the central bank already has authority over.
But to be honest where I am (northwest Europe) we already have subsecond person-to-person transactions via the normal banking system, no matter which bank the sender and receiver use. So stablecoin-ifying the Euro wouldn't make a huge difference. There might be more to gain if the region doesn't have that kind of payment infrastructure yet.