Bitcoin needs some kind of way to scale non-custodially. Lightning is a partial but not full solution. CTV opens some options that aren't currently possible.
What options would CTV unlock that are not available now?
https://www.youtube.com/watch?v=seOK8CujQQI Shiobi explains it quite well. Starting around minute 31. Listen at least until minute 36.
I’m not convinced any of the options “opened” by CTV are going to hugely move the needle, honestly. There’s some marginal gains to lightning and mayybbeee timeout trees are compelling, but there’s big regulatory questions there and the trust model isn’t as great :/