It would be particularly useful if we were able to save our GTL searches, rather than inputting your search in every time.
Not quite sure how it it would look but maybe on the advanced search screen there 'save search'. An extra tab added on the GTL for 'saved searches' where all your saved searches would be and you click the one you want to search for, or maybe just a 'saved searches' button next to 'save search' or 'advanced search'.
I feel like this would help if you're waiting for a particular pokemon, especially dittos as it's often hard to find the correct one you need.