The thing about disclosing injuries isn't always about that specific athlete's injury or absence for the lineup, it is because it sets a precedence for how coaches report things. If you always report absences for the flu, grades, missing weight and then go "no comment"; that very denial can be considered as an admission of an injury.
Let me try to explain with a non-wrestling story I got told from a friend. He was an elementary principal in a suburb of Milwaukee. He takes a call one day from a male claiming to have a child in a school and he was trying to find him. The conversation went like this:
Male: My son is named Tom Brands. Does Tom Brands go to your school?
Principal: (Crap, he does!) Sir, names of students at our school is confidential, I cannot confirm or deny anyone who goes to school here.
Male: Eureeka! I've found his school. I'll be right there!
Principal: (Double crap!) Sir, as I explained I cannot say either way if any student goes here. Why would you drive here?
Male: Because I've called all the other schools in the Milwaukee Area and they all told me "No". You're the only one to not answer my question, so I know he goes there.
Not that it matters to my point, but some of you may want to know how this ended. The principal pulls the copy of the birth certificate- no dad is listed. Calls PD and the mom. Male arrives with an updated birth certificate with his name. Police look at birth certificate and allow dad access to his son.
The point is that if you treat all absences from the lineup the same, then you never have to worry about letting out secrets when there is something specific you do not want to disclose. Tom usually says something general like "he's banged up, but he's good to go if we need him". He says this if the wrestler is 1 week away or 1 year away from taking the mat.
"We don't divulge information that might be helpful to the enemy" For that reason, I am 100% fine with Tom never telling me why a wrestler isn't in the lineup. And it's why I always post that SNL video about Desert Storm Press Conference when people speculate about injuries and their severity.