Did your tank have the floater added to it. Was it a tank without a floating roof first, already with a PV vent?? And, maybe, when the floater was added, nobody ever changed the PV vent to a vented opening.
One of the ways I identify tanks with floaters while driving by a plant or tank farm is to look at the vents. If there are permanent vent openings around the perifery of the top of the tank, I can be fairly well assured it has a floating roof inside. If it has a PV vent or vents, I do not suspect a floater.
Putting the discussion of the vacuum breaker in the floating roof for when the liquid level is below the height of the lets, lets look at the requirements of a PV vent on a tank.
The PV vent has to be sized for the charge and discharge rates of the tank, however that is accomplished, pump(s) gravity, however. The vent sizing in each direction (pressure/vacuum) is determined by how rapidly the tank is filled or vacated. In the case of a tank without a floater, the relieving capacity has to be the sum of the pump in rate, as well as the maximum evaporation rate.
This should not apply in the case of a floater, unless it does not have good seals, or there is a high evaporation rate of whatever is "wiped" along the walls as the roof lowers.
A PV vent would not know if the tank had a floater or not, just that a certain amount of air/vapor was being displaced by the changing level.
One place you can get some information and even order a vent sizing program is
If your tank was, in fact, converted, and you have a PV on a tank that now has a floater, and the PV was properly sized for the liquid before, and nothing in that regard has changed, you are probably OK, since you no longer have the evaporation rate to contend with. However, having a PV on a tank with a floater is suspicious to me, so do not take our word for it, get a sizing program, and check it out.
rmw