Sure, “no man sets foot in the same river twice”, but that does nothing to argue against the preservation of cultural items.
Take music, for instance. I never feel the same way the second time listening to a song as I did the first time, but that doesn’t make the music less special or change anything about it at all, and it certainly does nothing to advance a hypothetical argument that music shouldn’t be recorded or that the recordings of it shouldn’t be preserved for future enjoyment or different audiences.
Is it ok to slut shame a website for having too many partners?