I hope not. Archive.org is one of the few internet organizations who still have my support.
Their biggest problem is probably copyright; especially of companies which didn't object having their content archived, but then went bankrupt, and got bought by lawyers.
They will be blacklisted. It's only a question of when. Do you think that politicians like having embarassing content forever cataloged and viewed by the public? They will find a way to memory hole archive sites either through the legal system or coersion with tech and banking. 'Oops your company just popped upon the MATCH list with #10, we are closing your bank account.' That happened to gab, happened to Dick who tried to run a patreon without censorship, it will happen to the archive site owners
Archive sites are likely to get the blacklist soon. They will be smeared as manipulating the content they archive and will vanish in a flash.