Sending back HTML is kind of the point though. The idea is lots of sites built on frameworks (Rails, .NET, Java) already do HTML rendering server-side, so now you can get SPA-like UI without backend changes. If you've got a REST backend (which the former generally don't) I would use one of the many popular client side frameworks. Using HTMX or intercooler or unpoly, doesn't make a lot of sense in this scenario.
I think that even if a server returns HTML, on the client-side we'd typically like to retain the flexibility to style/restyle/rearrange elements it to fit the current layout. The same response could be used in multiple places with different styles.
What other client-side UI frameworks do you recommend? I'm liking what I'm seeing with HTMX due to its small size and simplicity.