First, I want to stress that my take on Crujif is more of an explanation on why many candidates wants him.
Now, regarding Mateu Alemany, I think his resume is good and it seems he is rated even higher by his peers. That being said, I also said he could be the one who make or break Laporta, if he is his right hand on football decisions. i.e replacing Crujif but in more official role.
RM was actually after him for few years too.
Now a deeper look and some search.
https://www.transfermarkt.com/mateu-alemany/profil/trainer/55431
https://es.wikipedia.org/wiki/Mateu_Alemany
Alemany was with Mallorca for 7 years as CEO, and was offered job under Perez first tenure. But his real impact is seen as club president.
Their best ever result before he joined them was 6th place, and they were deep in 2nd division when he was first hired, but made it to first division in his later years as CEO, as club president they didn't get relegated at all, finished 3rd in the league once and won their only trophy ever (CDR), 3rd place is their best ever position in Liga btw.
Has hired some good coaches, but lacked stability with them, partially because Atletico loved to get their coach
Tough to take anything from his 2nd tenure as club president as it was for few months.
In his Valancia days, he was hired in March 27, 2017 to Nov 7, 2019
With him in charge, they have their only one trophy since 2008. The CDR they beaten us to.
They finished the league at 12th place in both 2016&17 seasons, after he was the one who made the calls they finished 4th twice in 18&19 seasons. Last season they finished 9th and currently they are 11th in Liga.
2 coaches were hired during his tenure, Marcelino (after Alemany and co fired Voro) and Albert Celades who was hired after Alemany being basically sidelined in the decision making, as they fired Marcilino against his well.
I ant to say that, Lim has been able to attract some respectable executives and coaches, he simply failed to keep his nose out of their job and ended up firing the people who were trying to help him. Everything indicates Alemany was one of those right people.