This problem is not related to the photos app nor ios14! But it's related to the web browser. Chrome (and other browsers like opera torch, edge, Firefox, brave and...) had this annoying problem even in earlier iOS version (ios13). Safari was ok in iOS 13 but in ios14 besides of can't save animated GIF, it has performance issues when you view or save a GIF.
And in this situation, the solution is to use Maxthon or Aloha Web browser.