Patricia was horrible as an OC. The fact is that Patricia was tasked with implementing the Shanahan "Wide-Zone" and couldn't do it. In fact, he alienated one of the two players who'd played in that offense in Kendrick Bourne. Instead of seeking out the help of Bourne and Trent Brown, Patricia did his own thing. Bourne got so fed up with him that he called Patricia out on it. Which is what landed Bourne in the dog-house that year.
Patricia's offense put up 364 points in 2022.
Bill O'Brien's Offense in 2023 put up 236 point. It also had serious issues on the O-line. From Injuries to Trent Brown, McDermott, Reiff, and Anderson, to Lowe showing he couldn't play RT. Oh.. And the Pats O-line Coach (Klemm) got fired/quit because he told Wolf off. So the Pats were relying on Billy Yates and James Ferentz to coach the O-line.
Bill O'Brien's 1st tenure was significantly different when it had a complete O-line:
2011 - 513 points for
2012 - 557 Points for
2013 - 444 points for (No Competent TE behind Gronk who went out early in the season with injury)
2014 - 468 points for (Won the SB)
So, to say that Patricia was better than O'Brien is a stretch.