Doesn't liquid already implement something like this (the lighting network sort of does too) - not sure how they deal with disputes when funds are moved. I can't decide if thats the same as the roll up you've mentioned as the only sources I can find are from the upgrades to ethereum and polygon.
Yeah, lightning looks great.
I've tried to understand how Liquid works, but as I found it relies on complex system of federation, and underneath there is something like trusted PC which reminds me bridge. Anyway, liquid is great too.
What I want to point with respect to attempts to build trust-less scalable solutions for settlements and on-chain trading like lightning and liquid - there is something big emerged outside of bitcoin, and it will be great if BTC could inter-op itself by script and democratize it's wrapping adoption by other chains.
Regarding disputes - I think it could be solved with locks (like 1 year) to transfer locked BTC out of script plus include side chain block number somehow to signature. Anyway - I'm not an expert in this field, just suggestion from the user perspective.