Yes, this is the way it should be. Coaches shouldn't know anything about the financial side of it.
I used to eat lunch with a lady at one of my former workplaces whose son was recruited by almost every team in the country. He had a scholarship offer from most of the country. I asked her about cheating and she would almost never comment on it. One day, when he had been in college for a few years, she told me this story.
She said Saban came to her house with his secretary. The secretary never said a word except stuff like "Hello" etc. Saban sat at her kitchen table and she stood at the door with a notebook open. Saban asked my former coworker the usual "What would it take to get your son to come play for me?"
She said she brought up playing time and how he would be used on the field. She then brought up tutoring, career services in case the NFL didnt work out, medical coverage in case he got hurt, how long would it be covered if he got hurt after he was no longer there, etc. She said she spoke for abiut 30-40 minutes.
At the end of her speaking, Saban looks at her and said "You arent answering my question" and gets up to walk out the door. His secretary says to him "What do I do?" And he said "I dont know." That was the end of his visits to her house.
I asked her why she was so quiet about it and she said that people would always wonder why he didnt go there. I asked her and she said she thought he might get trapped in the depth chart and not get to play.
When she signed him up for the ACT, they told her she owed something. She called and asked about it. They said she owed (like $89 or something) for the last time he took it. She asked where he took it and they said "Northport Alabama". She asked why would he take it there when he lives where he does?
She laughed and said if someone was going to take his test, they could have at least paid for it.
If someone wants to.dispute these conversations that's ok. I will however promise yiu thats what she said to me. Personally, I believe her because 1) I know her and 2) she didnt want to walk around telling everyone about it.
Saban doesnt just cheat. He cheated more than everyone else and it wasnt close. He cheated so much he helped a player for another team get eligible.
And yes, he knows about the money going to players, if you believe that story. Personally I do.