I don't know but when the E3 trailer was shown, there were no reflections on Spider-Man's eyes. Just a couple of months later, at PS Meeting, when showing the PS4 PRO version, they had emphasis on his eyes, showing the reflections. Same for this E3 gameplay video.
We don't know if the reflections on the eyes are exclusive to the PS4 PRO version, or that they exist on base PS4 too but seeing them clearly are the results of the increased resolution on PS4 PRO.
The effects on the eyes is likely just a cubemap and not something like SSR. I'm sure they got that on the OG PS4 as well.