LPC generally covers a masters in psychology. In many schools, this equates to less clinical training, and a greater focus on research (the focus of most straight-up psychology degrees vs counseling psych). LPC's may also have education backgrounds (studied a track that had them focusing on school psych)... this doesn't make them automatically good or bad, just differs in their initial education and licensing requirements.

I'd probably echo what most others have said around personality/fit/experience counting more towards competence then a specific accreditation. I've had awesome t's at a masters level, and some ****** ones. I have an awesome t at a doctoral level, but i've had some crappy ones in the past.

Perhaps another thing to consider would be how burnt-out they seem when you met with them. I've had encounters with people who seemed great on paper, but were so bogged down with past tiring events that they couldn't see me for the individual sitting in front of them... but I guess that goes along with "personality".