To be fair, though, in that same
interview, Jim also confirmed supporting PS4 for years to come.
Did he try to be sneaky and take a shot at Xbox's no next-gen exclusive game for 2 years? Absolutely, he did.
Was he entirely wrong with his statement? No, I don't think he was.
I think Jimbo was telling the truth as he saw it. PlayStation "believed in generations" (and therefore released games like Rift Apart, Destruction All Stars, and Demon's Souls), and PlayStation also had "a responsibility to support the PS4 community for several years", so they also released games like Miles Morales, Horizon Forbidden West, Ragnarok, etc. on PS4 as well.
Both things can be true at the same time, and that's what Jimbo said. Also notice that in his quote, nowhere did he say that games will be next-gen exclusive. If anything, he was talking about console features, such as 3D audio and DualSense etc.
The shot at Xbox was kind of valid from Jimbo's POV because they said
"no next-gen exclusive games for 2 years at all", while Jimbo implied that they will do both, and they did. As per Jimbo, PlayStation would make PS5 exclusive games (which they did) and would also support the PS4 community for several years after (which they are doing).