Not sure what industry you work in, but I'll give you a little insight. I used to the be a superintendent at a chemical factory on the east coast (I'll let you guess the state

. Anyway, never in my life had I seen such a group of entitled individuals. The worker simply complained because he found something to complain about. The fact that the bike was being stored in an unused room made no difference - logic and reason do not prevail, here.
Your solutions have been outlined, I think: See if you can store the bike at your desk; buy a folder; buy a beater and keep it outside (this is the option I'd chose - always a good reason to get another bike!)