Why Couldn't Designated Tournaments Opt-Out?

I heard from another couple of tour insiders who insist that Tiger and Phil were NOT to blame for the demise of the designated tournament concept, but instead, it was a select few events fearful of the branding issues that came with such a designation.

And I have no doubt there are some tournaments out there incapable of getting over the ego blow and accepting a little help.

However, why couldn't the tour simply let a tournament decline the option?