Had our 33 minute connection time yesterday. Checked into LAS at Sky Priority and agent says it looks like you have a problem. Plane is now scheduled to leave 7 minutes late and you have to go from D13 to 83. (This is not meant as a complaint in any sense and agent was very friendly).
You have probably figured out by now that there is no gate 83 in SLC. I immediately recognized that it was probably our arrival gate at MCO. Yes, it was and departure gate was actually D1 so I said we should be fine (did not want to miss and take redeye getting in at 5AM).
Well, it turned out we had a tail wind and even though we did leave late, we were still early. Plenty of time to hit restroom and get to D! before boarding started.