There are two types of active repeaters; a three-phase repeater, and a split-phase repeater. Three phase is another topic entirely, but the split-phase repeater is designed, like you say, to rebroadcast the signal on the opposite phase, but it also increases the signal on the SAME phase. No matter which phase the signal originates on, it is rebroadcasted on both phases, so I think its a bit of a misconception that it only broadcasts on the opposite phase.
Also note, the best I can tell, and anyone chime-in if you know differently, but the Leviton split-phase repeater is really manufactured by PCS, and is the exact same split-phase repeater they sell, so they both are the same beast.
I can't comment on the specs as I haven't read them, but maybe the other "repeater" you see there is used for other purposes, or maybe it doesn't actually exist and was only created for future use. Don't know.
One thing that I was always surprised by is that you CAN use both an active split-phase repeater AND a passive non-inverting phase coupler together, and neither one seems to impact the other. I have to do that in my home, and Worthington and PCS have both said that its acceptable. Why do i need both? The simple reason is because Simply Automated switches are Gen I and don't benefit from a repeater, and since i have a few Simply Automated switches and many Leviton Switches, I need a repeater AND a non-inverting phase coupler.
I also know that you DON'T want to use a Simply Automated inverting phase coupler with a repeater. From what I understand, the effect is like adding matter to anti-matter. :nono:
