I can definitely vouch for the F113. I have 2 setup in my heavily treated theater. One nearfield and the other along the front wall controlled by an SMS-1. I have PSB Synchrony's up front and I have to say they keep up very well.
I have tried various subs such as SVS (PC-12, PB-12 Ultra), HSU, VTF-2, VTF 3.3, Velo DD-15, DD-18, but not the Ultra13. Through the course of owning these subs, my tastes have gravitated more towards the sealed designs as I perceived them to be more accurate and I guess I formed an aversion to ported designs just from comparative analysis. For me, the quickness of the sealed design, the fast decay, just appealed to me. Although I prefer this for home theater as well as music, I would venture to say that at least half, maybe even the majority would prefer ported designs for home theater use just from a "sound signature" perspective.
The PB13 Ultra seems to be a huge step from the 12 so for me to make any assumptions on its performance based on my experiences of the 12 would be a stretch. I had no hesitation suggesting it for a new install for a friend/client of mine.
Having said all this, for me, I love my twin F113's and would not consider trading them for PB13's. Especially since street pricing for the F113's is no where near their retail whereas the PB13's street value is very close or equal to their retail since it's ID. I would strongly consider the Submersive though since I don't have to worry about aesthetics as much in my man cave.
But just to reiterate, at this point it really is splitting hairs. These are all great options that you can't go wrong with.
Good luck with your search.