Probably don’t take this as weighing in but rather thinking out loud.
I saw a lot of chat about going tubeless up to maybe a year ago but not much has come across my radar since. I’m a bit like you and run liners inside my tyres, but I race and therefore run GP4S2s. My biggest concern with tubeless was because I race, I run high pressures. Hard cornering at maybe 80psi and a 120kg rider don’t mix well. From there, there wasn’t a sealant that I’d come across that coped with high pressures either. So the tyre might seal as the pressure dropped, but I’d have a bike and perhaps me covered in sealant as it got to a point where the puncture sealed. I’d read a few stories of that happening. So perhaps with sealant I could keep going to get home without stopping, but I’d rather be clean and not have to clean my bike and take 5min to change my tube. I run tubeless on my MTB but those pressures are much lower.
I’d be keen to hear if things have progressed in the world of tubeless though as it does make sense