This is a good question. Mozeliak is well regarded by his peers in the industry. Girsch doesn't have the same profile, but agents have a high regard for him, and several rival organizations in the know have borrowed from the models he's brought into the game. The Cardinals are seen as a structured, organized, conservative, polished and, at times, risk-averse team. So, a lot like you know them to be. A rival once told me he'd like to see what Mozeliak would do if given a spending spree, the one other teams perceive the Cardinals capable of making. Every so often, someone in the game will ask me about whether Mozeliak would like a change of scenery, a bigger market or a different challenge, and he's had that chance. He's viewed as loyal to the Cardinals. That's kind of the culture there.
Just like any time there's a trade deadline there's a good referendum on a team's minor-league talent, any time there are jobs open throughout baseball it's a good way to gauge a team's place in the industry's opinion. The Cardinals went through a stretch there from 2006-2018 or so members of the front office did scatter and were interviewed. Mozeliak and Luhnow were interviewed in back-to-back searches for the Houston GM. Luhnow got it. He took with Elias and Mejdal, who are now running things -- Elias is the GM -- in Baltimore. Kantrovitz was pulled away from the Cardinals, came back, pulled away again, and is now with the Cubs. Before becoming GM, Mozeliak was a name that surfaced in many searches, and a few times he interviews. Girsch, likewise. Girsch's name was mentioned in one report this winter for the Phillies' search. Gary LaRocque was offered a leading position in Arizona before re-signing to stay with the Cardinals as farm director. An Angels official famously bragged that he had taken a copy of the Cardinal Way with him on the way out to apply to that organization. The Cubs Way -- partially written by a former Cardinal coach.
You're going to hear a few other names in the coming fall/winter. The Rockies, for example, are expected to consider at least two of the Cardinals' front office members.
Moises Rodriguez will be a name mentioned often in the current and coming searches. Randy Flores is getting attention within the industry, and that will generate outside entrance.
All of that is prelude to a point that is important: The Cardinals themselves felt that they were falling behind in certain areas of the industry. That was something they acknowledged, and they wanted to correct, and one way they recognized this was the success of other teams. Some of them had taken the Cardinals model and improved upon it. Some had borrowed people, scouts, and elements of the Cardinals' model and merged them with others to create a stronger alloy. The Cardinals felt they were ahead evaluation and pitching development, but slipping behind in the use of tech for both pitchers and hitters. They were not among the first wave of teams to go widespread with so much of the pitching tech we now assume teams use, and that put them somewhat behind others. Mozeliak's planned pitching lab still isn't up and running. The hitting lab they planned is being used this summer, and was available this past winter, but not a major part of major-league spring training. These are areas that the Cardinals had to improve, and it was reflected somewhat in how the industry viewed them.