Well I agree to some extent. But in reality, you already answered yourself. They are a private company and can choose which animals to allow in their buildings.
Frankly allowing many tenants to own reptiles IS creating chaos because of so many "whoops my snake escaped" people. Until reptile keepers in general get more government support, and stop these stupid mistakes (lose animals, disgusting conditions, taking giant snakes outside for everyone to see and keeping collections of 500+ animals when they shouldnt be, raising their own feeders which STINKS! etc etc) then we can't expect a private company to give a crap. And like you said, they don't have too. They might not like the color green and because of that ban them. That's their choice though.
Good luck house hunting though. I'd try and buy. :P