I would support the ability to sort by stat total, personality (especially personality category) and sex. Those are the three main things I look for when searching for pups, and they're already available when looking through the enclave. Though, I wouldn't mind being able to search for individual stats as well. I don't breed for overall high stats, just the role ones, so I have to check lineages every time.
Being able to search for appearance would lead to early rollers snatching all of the "rare" pups, as others have already stated.
I support this idea, I agree that it is very time consuming. Also, pups are constantly switching page numbers beacuse someone puts one in or take one out. So if you find one and then keep looking, you wont be able to come back and get it easily. For example, I am really liking pups with red eyes right now, I found a perfect one, Red eyes, sullen, male 3months but I only have a few pair bonds now and needed to look a little longer so that any other pups i might find and want wouldnnt be taken before i could come back ad adopt them. I am STILL looking for that pup, cause that was my favorite that i found. I also wish it was possible to see he entire pup, ot just it's head shot
No support. In my opinion, part of the point of the Enclave is to make users sort through a whole heap of puppies in order to get good ones. It selects only for people who care enough to do this. A search function would make it too easy to find good ones without having to work for it at all.
No support for any search functionality. It would be too easy for someone to jump on right at rollover, search for the best traits, and quickly adopt them. The lack of search allows for players of all types and abilities to stumble upon a good pup.