I usually do 1 better

If I think theres a good chance of missing my connection, the sec we touch down the cell is turned on and I call the Plat line or any line that I can get thru on.

If they tell me I should be OK , I always ask them to protect me anyway on another flight unless Im told my connection is delayed and I feel there wont be a problem making it with the new departure time.

This has saved me a number of times and never had to wait in line anywhere, yes the only time it failed was when there were massive storms and cancellations going on somewhere in the system and the wait time was gonna be longer then getting to a live person. But that occured just 1 time so not too bad.