Horizontal blinds in rented apts never work properly. I have them in my bedroom now and they don't stay up or you pull the cord and only one side goes up and stays.
Tacky as they may be... I think they are just a hassle. But I don't have anywhere to store them if I remove them.
I put curtains over them.
I usually find this in the "comes fully furnished" apartment complexes, but the brown furniture from the early 70s played off as "vintage" has got to go.
ETA: I got confused. But my vertical blinds have similar problems and are just as bad. My parents have them at home and our cat likes to fight with the beads that hook them all together... they eventually just all broke.