No hair dryers - and, following what @Phill057 said, I'm not sure that I'd agree with installing them. Personally, I haven't needed one for my hair since I was about 17 (a paper towel is now more than sufficient to polish me up after a wet ride) but I'm also the only person in my house who owns one, neither Mrs Norm nor either of the Smalls have ever felt the need for one.
Knowing the levels of H&S BS to get a toaster, a stand-alone hair dryer is a pretty high risk item and would almost certainly be subjected to frequent and costly inspections. And, ultimately, for what purpose? Should the company also be providing fresh towels (cheaper and more arguments in their favour than a hair dryer?), or soap and shampoo?
We have a decent shower room at work, although I'm the only one who cycles so no-one else uses it. I have a decent micro-fibre towel, I'm pretty sure that I get more than I would expect my employers to provide already.
I don't really understand your argument.
I'm sure most employers want to provide adequate facilities. Why should they provide showers when you can wash in the sink? Should they need to provide hot water? You can wash in cold, right?
A hairdryer is not subject to "frequent and costly inspections"
To the OP, it's probably just an oversight on their part, and I see no reason that they would be offended by you asking for one.