The note currently displayed to my account disputes the claims made in the linked tweet (that the Internet Archive is run by the US government(???)), not the supposed motivation of the attackers.

That said, this just seems to me like the attackers are trying to come up with some justification after the fact to explain why they would go after something as universally beloved as the Internet Archive. Actual pro-Palestine activists are not happy, eg (strong language): https://x.com/Aldanmarki/status/1844155616199413969

The current community notes I see on these tweets just basically say: the Internet Archive is not part of the US government.

You should actually read what the notes say.