Back when I was faculty in an APA internship program, i don't remember ever having discussions about the training areas of the faculty in applicants grad programs. Never came up. It would be difficult data to compile and use for evaluation and prediction. I wouldn't worry about it DIRECTLY negatively impacting internship competitiveness. If you are considering a clinical program with many non clinical faculty, you should ask who does the clinical training (adjuncts? community based therapists leading clinical teams?) and where (dept based training clinic? Affiliated community clinic?).
In regards to using APA internship rates as a measure of programs- it's an important metric, for sure. Remember, though, that its reported as a percentage. You should most definitely look at the numbers that go into that percentage. In smaller programs, there may only be 4 or 5 applicants per year, and one person not getting an internship can change a percentage by 20-25 points. I'd suggest that for such programs- which are likely mentor model- the match rates for the specific mentor are more important. For the 4 years I was at my program, we had 100% overall match one year, and 3 years where 1 student didn't match (out of ~5 applicants). Non-matched students came exclusively from one mentor. Outcome was predictable- emphasis on qualitative (actually narrative) research for diss; a lot of "therapist as client" stuff- applying to highly competitive internships in northeast metro areas.
Look at trends and relationships between mentors and specific internships as well. Certain mentors send a steady stream of interns to certain placements. Similarly, placements will look to specific mentors for future interns. In my program, our mentors "groomed" us for specific internships. I was introduced to internship faculty at conferences, encouraged to join and volunteer for SIGS where internship faculty were involved, included on research projects/chapters/symposia/ etc. that were in line with the work of these internship faculty. I knew about such things when I applied. Ask prospective mentors what there past students did for internship, postdoc, and career. Look for trends and patterns.