Hard task for any coach. Tom Brady and I will take the proven builder of reputable organizations who wins everywhere he goes.
Except Brady wasn't the one who hired him. Tom Brady only has a 5 percent stake in the organization. He certainly was at the table, but at the end of the day Davis still has all of the decision making powers. In addition to this, Brady has never been part of an FO in any official capacity. He spent almost his whole career with just one coach too. We've seen former players make some horrendous decisions once they have FO powers. Being an executive is different than being a player and being a great player doesn't necessarily make you fit to evaluate talent. The inverse is also true, some of the best coaches out there have been flame outs in the NFL or even NCAA.
Carroll has also only built one successful NFL team and that of course the Seahawks. He was also over 15 years younger than he is now and had a more firm grasp on the direction of the NFL when he took over the Seahawks in 2010. Right now Carroll is the oldest coach in the NFL. To me this move only made sense if you're a team on the fringes of competing. The Raiders are not that team.
Carroll is going to be 74 at the start of the season. He hasn't fielded a top 10 defense since 2016, his playoff record is dismal since our last SuperBowl appearance and his choice in coordinators has been extremely bad. The only guy that was still working in the capacity that they were hired on the Seahawks was Schottenheimer. This, mind you is in a division filled with playoff caliber teams and established head coaches.
Carroll was a huge mistake, the long term prognosis here is awful and he's not the same guy that came into the league in 2010. He's not going to be very successful in Las Vegas.