Hey Arky,
(...) It is pretty bizzare for your weaker hand to be stronger at a complicated motion like the Moeller! Could you maybe post a video of your moeller so we could check it out and give you feedback? I am honestly stumped about your issue.
I don't want to bore anybody with my beginner 'skills' (14 months into drums so far), also I'm the biggest video lurker on earth I guess... I do have a cheapo digicam but I shudder myself watching extremely low quality videos on YouTube etc.
Well I started practicing the Moeller technique, having watched videos by Weckl, Morello, and most recently, JoJo Mayer (his tutorial DVD). The Mayer DVD helped me to identify what can still be improved. I prefer a higher snare position, inspired by Todd Sucherman's setup. I've started practicing trad style about 10 months ago - don't remember exactly - but only gradually and after some months it started to really work and feel good. Now I'm doing 50% matched, 50% trad. I'm working at home, sitting at the PC most of the day. So I came up with placing the snare to the left of my workbench and thus, focus on my left hand. In this setup I'm practicing 90% trad grip with my left hand though. I guess I could catch up with matched/Moeller pumping but that will take quite some time.
This "PC workbench & snare at the left" setup is my way of multi tasking and saving time - I can practice my left hand as long as the right hand can handle the work. Same with feet - my double pedal sits right below the workbench. I can go on for hours 'down there' while working at the PC.
2 months ago my paradiddle record (matched) was 208 bpm, 1 month ago 216 bpm and lately I hit 220-230. Warmed up, I can do the paradiddle up to 220 bpm w/ trad. Not perfectly... Those are speeds I would hit for a few bars, then slow down etc. I'm switching grips very often and do both left and right hand leads (feet also with double bass) so please don't think that I'm only into speed.
Playing fast paradiddle and doing the pump single-handed/matched grip feels different to me, the latter is harder to do and the speed area is much lower. At least now, it might change with time. I still have some huge speed discrepancies, depending on the grip/technique. Thinking about this... One big reason might be that depending on the snare height some things are easier/harder. [I know there are several threads on this topic - snare tilt/height]. That's why I still prefer a higher snare to make the Moeller motion work better with my left hand/trad grip. Switching to matched, the pumping feels less comfortable. When I'm focusing on one grip for some time I'm readjusting the snare height/tilt accordingly. I haven't found one position which does the trick for both grips (for me). I guess if I focus more on matched grip and lower the snare, I might improve with the pumping.
(...) having often been in your situation myself.
I have 1 snare (& usually a pad on top), 1 hihat and 2 additional pads (1 is a moongel) so I can simulate a kit but almost never do so, still focusing on basics (or what I consider basics).
I'll keep practicing the pumping (both trad & matched) and in case my left hand will still be better within the next weeks, I'll think about making a video. I'm not in a hurry to show the world what I can (or rather can't) do in drumming ;-)
BTW, I can't (and absolutely don't want to) imagine where I would be now without the Moeller technique. I'm so glad someone invented this!!