We misconnected at MSP last week and had to spend the night in a hotel we paid for (actually, very nice place, the Radisson Blu at the Mall of America, $111 all in through Hotwire).
We tried to check in on the Delta App for our onward flight, but couldn't do so as our reservation was not connected to an electronic ticket. We checked in at the Sky Priority counter. The nastiest counter agent I have ever encountered in 35+ years of flying Delta "waited" on us. My wife is a 1MMer, and this person really got under my wife's skin.
So, being "regulars" didn't result in that personal touch at MSP. However, our bags were first off the belt at IAD, so things worked out.