For DomTerm (https://bothner.org) I've used both webview/webview and wry (on Linux only) - and both are usable. The main problem with webview is that it is semi-abandoned (last checkin was in March) and the features set is pretty minimal. Wry is actively developed and has more features. However, the wry-based executable is quite a bit bigger than the webview-based one. And of course leaning to use Rust is an issue.
Oops: For the record, DomTerm is https://domterm.org, while bothner.org is (I believe) some unrelated German family. (My personal/family website is bothner.com.)