Yes, those stats can control all those devices... but not all at once! Unless you want to tempt the fates, you should never plug two different things (i.e. a lamp and a UTH) into the same t-stat. At the least you'll have the heat pad not working properly and the lamp flickering, at worst you could blow a circuit.
Also, lamps work differently from heat tape or pads, so they should have their own controllers.

Just saying...

Also, if you can afford the better t-stat right off the bat, you should GET the better t-stat! Experience has taught me that one.