My large company certainly doesn't. Oh, don't get me wrong - I have two, but they're for accessing different resources! If I lose one, I lose access to those resources until I can get a new one shipped to me. Can't buy your own either - not that I'm complaining about that.
Of course, since one of the keys protects access to resources that can only be accessed from a special laptop, it lives there, and is hard to lose, although that may also reduce security since it means the laptop and key are always together.
You should probably bring it up. I guess they figure if you only use it with company accounts that IT can always fix it and get a new one to you. That would dissuade you from using it for personal accounts. Not my own opinion, just trying to figure out how the bean counters think.
Of course, since one of the keys protects access to resources that can only be accessed from a special laptop, it lives there, and is hard to lose, although that may also reduce security since it means the laptop and key are always together.