Jim Mora didn’t like Rizzi chewing out Matthew Hayball

That's clearly your opinion on the matter. I think you're overlooking that Hayball plays on the unit Rizzi coaches. Payton would yell more at offensive players than defense. There's probably a tendency of coaches to get more quickly frustrated with players that aren't doing what they have directly coached them to do. I think that was as much a factor as any "pressure" he might have been feeling, but that's just my opinion.
Payton would yell at his offensive players yes but when a defensive player would mess up he'd yell @ DA or the DC