I reckon if it dint have all those rod holders and lights and instead had a boom box and all the other doodads that come with that sport it'd be called a tower.
Wrked out fine for me but i custom built mine to my boat.
You can definately put a tower on a cuddy. Here's a pic of my boat. I reinforced the fiberglass with a peice of 1/2" PT plywood and used the backing plate that came with the monster tower - no problems with cracked glass at all. I also put a 600lb fat sac in the cabin and plumbed in a reversible simmer pump for fast and easy fill/drain.