I can see that LSi15 would sound better than the RTi12, but I am sure the RTi12 is capable of producing very decent bass if powered by a reasonably powerful amplifier, including the 3805.
I have listened to the RTi10 several times last year in different Future shops. Each time they were powered by either a HKAVR430 or 630. The only time I was satisfied with the sound in terms of fullness, and not too bright, was when it was powered by the AVR630. I know the RTi12 is more sensitive than the 10 (90 dB vs 89 dB), but even at 89 dB the RTi10 needs lots of power. I don't know the reason, but I do know whether the sound I heard was thin or full, bright or not bright.
Johnny, you may want to try playing a bass heavy CD in "pure direct" mode, just to make sure that bass management settings is not the problem. Also, in pure direct, there is no output to the sub so you won't get bass cancellation between the sub and the RTi12s. If you like the sound in pure direct, then you can focus on your bass management settings, speaker configuration, subwoofer's phase setting etc.