Since there isn't an item hover on the achievement page (and I don't think there needs to be one) I'd love if we could have a button for account search. It can be lil icons like the wishlist page to save room, one for account search and one for shop search. It would streamline gathering items a bit more and prevent unnecessary purchases.

I agree, I often find myself having to click "Buy item" but then having to hover over the item on the shop search page and go to account search to see if I have it somewhere in my vault. It would be useful if the achievement page had an "Account search" button as well to save that extra loading of pages. Wishlists have both a buy and an account search button, so I don't see why it would be hard to include here as well.

Fully support! I hit the buy button then hover for AS all the time, like mentioned.