Sorry to hear, I don't see a reason they can't provide a second key, for a small cost, They cost about $3.00.
Each FOB has its own identification, and would actually help THEM if you each had a FOB, this way, they would know which of you is entering or leaving, If they are that nosey.
Is this a 1 person? Flat? Having 2 FOBS would allow a second tenant?
I see many Companies/People being a JERK, just because they can?
Prices have gone up, if this is the type: