I might be wrong but most teams have a structure where it's broken down into department's that don't change every time the coaching team changes ,beyond the first team coaching staff .This.
Bettis either needs to go or be given some extra help. It seems only him and wilder are running the entire club between them, its bonkers (we must be only club in top 3 divisions to be like this).
Bettis needs to focus on financial & business side of things and not have to go through all the football strategy and transfers etc. We need a pure football man as you mentioned (Des taylor style) to be a go between and focus on the footballing structure and planning along with player transfers.
The manager needs to focus on the football and coaching and implementing the strategy along with leasing with scouts and the dof to identify what type of player he wants - he shouldn't be doing nithing more or nothing less.
We should have a fitness head coach that is in charge of the fitness department and their job to focus on ensuring we have the conditioning and well maintained players we can get, including recovery and ensuring players are more robust and less likely to have niggly Injuries throughout the season.
Make sure eveything is seperate department not in the back pocket of the manager or the managers old pals. This way it works as a proper business and not just yes man jobs answering to just the manager. It also ensures we have the option of being able to sack a manager and not worry about the infrastructure crumbling in like other season with wilder-selles farce.
Ceo in our case Bettis
Sporting/technical director ( which we need)
Medical/physiotherapy
Sports scientist/nutritionists
First team coaching staff