That's right. PAVE accreditation is accepted in 37 states and is run by the AAVSB, if I'm not mistaken. I don't know if PAVE is accepted in other countries (like the ECFVG is, for example)
ECFVG is accepted in all 50 states + other countries, and it is run by the AVMA.
I would just go with the ECFVG. It is intense, but its name carries weight. People know what it means to have gone through that, even American vets who have never had to suffer through it (the CPE has a tough reputation!). I recently applied to internships through VIRMP at Tufts, Texas A&M, University of Tennessee, Cornell, and a few others. During interviews I impressed some board certified specialists who used the words "that is no small feat" when I mentioned that I'd recently passed it all on my first attempt. I was matched at my top choice.
Go with the ECFVG! You won't regret it.