It's obviously all speculation, but I think you're wrong on this. If you listen to his radio interview with Bob McCown from awhile back, the way he speaks about hockeys ops is unlike any other owner I've ever heard (outside of maybe Jerry Jones, and we know how involved he is). Discussing exactly what pieces are required to build a cup contending team, how many "future NHL star" prospects we currently have sitting in Belleville, exactly how many picks we have in the coming drafts etc.
He may be more hands off now that the teardown is completed, but I think he was heavily involved during that process, and will continue to be involved when we start having to put pen to paper for our young guys. Even just anecdotally, I heard someone that worked in the org said "You can't order a box of pens without Eugene having a say in it". He's just that type of guy. If he wasn't, he'd be hiring qualified staff and letting them do their thing.
I've worked for a CEO exactly like Eugene in a smallish company. They think they know and can do everything themselves, therefore hiring people to do it for them is a waste of cash. The company is a steadily sinking ship because of it (like the Sens).