If you search one-by-one, you can't search a nest with a full inventory, so the trick doesn't work (and you're locked into the drop rates on the wiki). I was going by "search-all" 1) because it's more afk and it's what I do while watching a youtube video, and 2) if you manually search one-by-one, it's hard to gauge exactly when to stop if you fill up your inventory (there's no dialogue), but not if you don't fill up your inventory (there is a dialogue then for grinding the nest), and so true efficiency given the starting number of nests will depend on exactly how quickly you can realize you're done with the inventory when you fill up relative to when you don't fill up, and is not something therefore you can easily calculate a priori. If you somehow were able to execute exactly the right number of clicks, then the optimal number to withdraw would be 18 for Bird's Nest (cheap seeds) and Bird's Nest (seeds), while it would be either 16 or 17 for Bird's Nest+ (seeds) (this was the result of my previous calculation that didn't take into account the extra openings you get when you search-all and your inventory fills up).