I just learned about this organization, Saving Ukrainian Cultural Heritage Online (SUCHO): https://www.sucho.org/
They seem to be using various tools, like Browsertrix: https://github.com/webrecorder/browsertrix-crawler
It sounds promising for interactive sites:
> Support for custom browser behaviors, using Browsertix Behaviors including autoscroll, video autoplay and site-specific behaviors
Browsertrix links to https://replayweb.page/ for a way to view an archived site.