Didn't watch the video, so just spitballing here and my apologies if I missed the context. But yeah, I think he'd maybe be a bit insulted that a HC search/hiring process that involved Tom Brady didn't attempt to hire him and instead hired one of his peers. That said, if Brady was evaluating them both objectively, he sees that Pete historically has a higher floor regardless of who his QB is; whereas Belichick's track record without Brady at QB is pretty bad. Great coach, not trying to take anything away from him, but fact is we don't know what he is without TB.
I haven't looked at how the timeline of Raiders job coming open crosses with BB taking the UNC job; but I wouldn't blame BB if his ego felt slightly bruised.