I'm a long-term anxiety sufferer.
I think part of it was in the genes (parents both like it), but part was due to the subtle onset of MS, when I began to struggle and lose confidence, without ever realising I was ill.
Unfortunately, I didn't find beta blockers helped at all - nor anything else that was tried. Until diazepam, which I wished I'd tried first, instead of last.
As Pink says, there is an addiction issue, for some people. But just as not everyone who takes a drink becomes an alcoholic, not everyone who takes diazepam (valium) is susceptible to addiction.
Today, I still take it intermittently, and in small quantities, but these days mostly for spasticity, rather than anxiety. I find it is an excellent supplement to baclofen, when my legs really are bad (it's a muscle-relaxant, as well as a mild sedative).
I've never experienced cravings on days I don't take it, and never felt high on it either. When I've been really bad, with either anxiety OR the stiff legs, it has restored some normality.
The doctor, worried about addiction, I suppose, asked if I felt "happy" on it. My answer: "No. It just lets me have a 'normal' day, instead of throwing up with anxiety".
I still maintain that's all it does for me. I never think: "Oh, I really fancy a diazepam". But if I'm in a state, and puking, I know there's something that can be done. Likewise if my leg muscles are still rock hard, after two baclofen, I know I'm not out of ideas yet.