I use my smartphone all the time while traveling. Weather is just one use. I've booked rooms, found places to eat, etc. I use my GPS for a lot of things...but checking the weather is always a nice extra. It also gives me an excuse to stop for 10 minutes and stretch my legs.
I have an I-phone and I use weather bug first, then the weather channel app if I am not happy with how weather bug is loading. Fla. radars app is non stop radar for my area for a quick check. Lots of great things about an I-phone.
Droid weather apps have doppler. I use mine all the time. Won't get a GPS unit until they become fully weather /dopper integrated. Tha's what we need, something mounted that feeds live doppler.