I do both! I currently have one of each going right now. One on the LA and one in my lap hoop. I love having handwork to do and I love doing MQ too. Granted I can complete a heck of a lot more MQ quilts to my HQ. The HQ I have right now, I have MQ 4 and am on my 5th! This is with some piecing mixed in too. But I can't stand not having some sort of handwork in the evenings while watching TV. It is a rare day that I don't do any handwork at all but I can go weeks without touching my LA. I can't wait to baste my next HQ project on the LA. The basting/sandwiching process I hated more than anything but on a LA it is a piece of cake.
I will never give up either unless health issues force me to and I don't have any issues now. Knock wood!!