As someone going through the internship match this year, I'm in the midst of experiencing the disappointing reality that not only is the current match rate unacceptable, but that APA sites are even more difficult to come by. I consider myself lucky that I interviewed only at sites that are APA-accredited. However, the overall message from our program (a very small, APA-accredited, university-based Psy.D. program) was that we should absolutely strive for APA and prioritize those sites, but that there is nothing wrong with training at a site that is only an APPIC member. The advice I have been given from multiple supervisors both at my university and practicum sites is that, unless you are hoping to work for the BOP (my goal) or the VA, this will not have much bearing on your career.
Also, I encountered a lot of sites, and have heard of others, that are APPIC members but are in the process of obtaining APA accreditation, or plan to do so in the very near future. Of course, there is always the chance that you are taking a risk when applying for jobs, as whoever is in charge of hiring may count your non-APA internship against you. I'm sure some on this thread have experienced that and may be against non-APA sites for that reason.
I may have misread something, but I believe a couple of posts on this thread or elsewhere on this forum stated that APPIC internships are unpaid, which is absolutely not true. Supervisors seem much more concerned with dissuading students from so much as considering creating their own internship site, which definitely could have implications later on. Also, these sites typically do not pay a stipend.
Am I wrong about any of this?