It is impossible to know for sure without being there, but I suspect that some of what you're hearing are differences in room effects due to placement. If you can (and I realize that's tough with an HT set-up), you might try changing the placement of the RF-62IIs a bit. Sometimes 6" makes a significant difference.
The RF-62IIs do have surprising bass, down to about 32Hz in my room, which is smaller than yours at 16x14. Below 32Hz their response drops off like a rock, measured one meter from a speaker.
In my music system I use a sub with 5-band parametric equalization to do judicious fill-in for the mains (due to my speaker placement being optimized for imaging and midrange smoothness, not bass), and it works out great.
Glad to hear that you finally found something that sort-of works. Bass in residential rooms is tough to get perfect.