I strongly suspect you are.
I got a DAB set, Its currently sitting in the back of the cupboard, on the off chance that i can at some time in distant future get a decent signal. Of course it may be because i dont live near a major urban center.Saying that, i have freinds in Leeds saying that have major issues as well, so maybe not.
None of my FM radio's have any problem including the wind up one i got for camping years ago.
Your definately right about Internet radio. Firing up a PC just to listen to the radio is a silly idea.