I don't think it hurts. It used to be common practice to put a power conditioner between a standby type battery backup and the load. If the PwrCond works well, the VR circuitry in the backup may never have to be used... You just need to be sure that the PwrCond can handle the wave form put out by the backup which generally isn't sinusoidal but a modified square wave. I would suppose that if you bought one from the same company as the backup then they should work together OK. Best Power used to make a Ferrups UPS that had a very good PwrCond built in, but it wasn't cheap. Best, Deltec, Exide and several other backup companies are now rolled into one and I think they are still making the Ferrups.
Just Google on it.
.bh.