Definitely giving DR3 a try on PS4. I doubt DR1 & DR2 will be essential to enjoying it.
Eh, at the same time I've been saying that DR1 and DR2 may not be necessary to comprehend DR V3, one definitely loses a lot of the nuance and significance of the story if they play DR2 without DR1. I could easily see that being the same case for DR3, considering how each of the games in the series thus far have built upon each other.