I modified the Lidfinity labels to work with the parametrized Gridfinity bins from: https://www.printables.com/model/491528-actually-parametric-gridfinity-with-correct-dimens .

The part is perfectly sized for 12mm/0.5in labels. Unlike the original, it is recessed and does not extend above the top of the bin. I also added a third hook to fully constrain it in place.

Update (2023/09/12):

I added a smaller version for 3/8" labels and example photos of a two color print.