I ended just switching to the rcbs tool. The Lee tool's handle would just end up bending or breaking on me using it on tight primer pockets. The rcbs tool seems easier on my hands too.
I've been thinking about getting the RCBS. Like DJ, my Lee has had the handle broken many times.....enough so that I now have 2 Lee hand primers (1 large primer, 1 small) plus a couple of extra handles for when (not if) it happens again.
As far as the primers not going in far enough to get the shell out of the holder, I've had that happen to me even using 1x fired Hornady brass. Most of the time, I just put a little more pressure on it and it goes on in. But there have been a couple of times when I've had to take the shell holder out of the priming tool and then set it on top of the ram in my press. Then using the Lee universal depriming die, slowly press the primer out, take out the case, and continue on priming.
Before everybody goes to screaming about this not being an accepted practice,... it's dangerous,... yada, yada, yada,...I'm not recommending that anyone do this. I'm just telling you what I've done when it happens to me. But then again, I've also punched out 1,000's of live primers and reused them,...tumbled live rounds,.... ran with scissor,...gone out with "loose" women,....and never had a problem (and I'm 57 so there's been plenty of "opportunity").
I understand there's always a 1st time and it could be the next time so if you decide to try it, make sure you wear your safety glasses (which you should be wearing anyway).