I think trying it would be wise. You could free yourself from the internal battle you've had going on for a very long time. Give it a shot for say a year or so and see how you do. Give it time to play out and then look at the results objectively. If it is indeed a bad call, there should be proof of that. You could then discuss that proof with your team and change course at that time.

If you don't try, you'll never know. And... I do not view this as a control issue. I view it as a strategic opportunity to tackle two of your greatest symptoms which are denial and med compliance. If you go with this approach you give yourself the opportunity to take those out of the equation and just focus on being as healthy as possible. That's a good thing.