I use and install Bead filters with their "Biological filter only" reputation in mind. They work very well in this application, but then, they are designed and plumbed for beads unlike the swimming pool filters you mention. Reading up a little on "Ultra Bio Media" sounds like a lot of marketing hype and little scientific fact. "3-5 times the surface area from other media? Poppycock--show me the tests. Or this blurb" Additionally, beneficial bacteria is able to build up into a bacterial matrix due to the excellent interstitial spacing within the media." Really--they reinvented the wheel?
You may want to look at this page for a fairer comparison
http://www.wernersponds.com/biofiltermedia.htm
Since I have no personal experience with BAKKI and far infrared rays, I'll leave it alone for the users to decide wether it's worth the money.