That is exactly how it used to work for me - but no more. A Test: I loaded a single US infantry unit onto a fleet and moved the fleet icon to the coastal region next to Cateret, NC (Beaufort NC). I clicked on DU and moved the arrow to the Cateret region. I got the message "One of more of your units ...

I have a related question: When I create a move of the fleet with troops next to say Beaufort,SC and then indicate distant unload for the region, I get a message: Some units cannot enter this region. This used to work correctly - is there a glitch in 1.03