I think the idea is that you "pay" the charity instead of the tax man.

This in turn allows you to take income from the charity (as an advisor/board member/fake title) so you're getting some back (with 40% taxed as income) via charity "employment".

Then as a cherry on top, you get to push headlines that you are altruistic and have buildings named after you.

Also, your friends can be advisors/board members for your charity and donate you gifts.