Sit back, and enjoy being paid to do nothing. #Friction is accepted at #bigco so while you can enjoy speed, they probably don't.
The company is paying you to work to their schedule, and unless you're working on "efficiency" or workflow improvement - just take it as it is and keep on top of it with your calendar.
Yeah, it's silly to file a ticket for a self signed cert, but it also puts the onus and responsibility on that team ,not you. Yes you'll miss out on small wins like that, but really - it's a cert in the end, and once you raise it up - let the team deal with it.