I'd argue the opposite, except maybe in the long view.
If only because Thibodeau has put himself in great position to hit the ground running - major market media scrutiny aside: Del Negro isn't a hard act to follow; the Bulls already stand to improve along with Rose and Noah; and the light at the end of the tunnel is TBA free agent Bull-to-be...
Rivers, assuming he even stays the course, has the more fraught year ahead. He's coming off a wildly uneven regular season and thrilling Finals run with a core in flux of veterans and strong personalities.