There have been a few reports today of connection problems on PS4, which are being looked into (presumably programmers will not start investigating this until tomorrow, though).
Voice chat is actually fairly tolerant of connection problems, with delays and dropped packets not necessarily even being noticeable in the audio output. I don't think chat staying connected necessarily rules out PSN problems. I've seen a couple report of connection issues in other games this weekend, as well (also not necessarily related).