OP I understand what you said, and I explained WHY. You just proved it. If you look at most of the plate amp wiring the signals are combined in the plate to a mono signal. The difference (as you found out) is the signal strength is doubled if you plug into both L/R.
There is a difference though. The signal is NOT a complete bass track. PERIOD.
You did not understand ME!. You are playing 1/2 the bass signal IF you only use the LEFT or the RIGHT RCA wire coming out of the head set. With an LFE signal from a head set (most stereo preamps don't, HT preamps do), BOTH left and right make a LFE signal with a step baffle. It is NOT what is recorded.. DO YOU UNDERSTAND. It is hocus pocus sound effects...
It will play louder for sure, it's just not playing all the music or the way it was mixed.
I use Bass columns and subs. The columns play from 300hz and down to 80hz. If I play the left and right columns they image a THIRD phantom speaker, just like a stereo. WHY? The signal is STEREO not MONO. LFE doesn't work there does it?
You want to make sure you get only 1/2 the information there but deliver it to BOTH left and right inputs. Split the signal you'll be like 1/2 of the DBA crowd. It will smooth out the bass that's there though. :-)
There are a lot of sub makers. 20% are good at it.. 80% have great paint. :-)
NOW decouple your subs and the rest of the speakers. Wait till you hear that difference. :-) Go to Servos subs. Bigger :-) go with Columns. :-) :-) :-)
Have fun.