Nah, you guys are missing the beauty of rats. Rats are not really trashers -- every card that's trashed is replaced with a rat. But rats do temporarily turn all your trash cards into cantrips, at least until you start to run low on trash targets. But even if it's only for a couple of shuffles, having cantrips instead of dead cards could be exactly the help you need to get to your real trasher. And, as a bonus, when you do trash the rats, you get some cards, though you'll probably be drawing dead since most trashers are terminals.
The point is, you obviously need an actual trasher in conjunction with rats, but rats grease the wheels for you: they cycle your deck, putting that trasher in your hand more often. I think this will allow you to clear garbage from your deck much faster than normal.