I carried a P-11 off on on for a couple of years. I'd shoot it at the range and get pretty good accuracy. I also shot other guns a lot. For me,
THAT was the problem.
I used to do a lot of IDPA, and one night I decided to try the P-11 in a match. My first couple of shots were NOT where I expected them to be... (In that particular string, we had ballons filling the center area of the IDPA target -- that's a big circle and a big ballon. I didn't hit it!) My first shots were reacquainting me with the long, heavy trigger. Thereafter, in the match, I did very well and was pleased with how the gun performed. The problem clearly wasn't the gun -- it was ME.
But, my first shots after not having shot it a lot were a problem... and I got to thinking about what if that had been a real world confrontation? When I shot it at the range, I often did poorly the first couple of shots, but never paid much attention to that issue.
I don't have that "trigger" issue with my Kel-Tec PF9. That trigger is more like most of the other guns I shoot. (I've talked with Kel-Tec reps about this,and they say an upgraded P-11 [it may be called something else] using the PF9 trigger and the P11 capacity is in the works ... but it may be years away, given the other new and well-regarded guns coming out. )
I traded my P-11 for a nice .22 rifle. (I've since had other K-T guns, and the newer ones all have an improved trigger, in which the slide partially cocks the action. The triggers are better.)
If the P-11 is the only gun you shoot a lot, it'll probably serve you very well. They can be surprisingly accurate. But if you shoot some others guns, take yours to the range and see how you do with the first couple of shots. If you have no problems, you're good to go. If you do, you may find yourself trading it for a nice .22 rifle.