I have a question. If there are any services where you can archive not one page, but all pages at once?
For example, there is a link to my list of open topics:
Show the last topics started by this person. I have 24 pages there.
And when I add this link to the archiving service, it only archives 1 page, and when I click on the second page, it takes me from the archive page to the forum page.
Are there any ways or services that the archive was created at once for the entire list of topics or posts?
What archiving services have you tried? Clicking on unarchived links on
Wayback Machine won't redirect you back to the original url but will open a page with the following message:

You can then simply archive the next page by clicking the
"Save this url ..." button.
Although it's not exactly what you were looking for, at least it will save you some time.