I agree that H should be held accountable for his behavior, but I don't know that he will. The Charity Commission will be looking into trustees, but H is not a trustee, he is a Patron so he will of course have Trustees to blame if the commission finds the former trustees guilty.
IMHO, we a considerable way from the tipping point where that photo won't work, because although H may have been, to quote Mike Tindall, "a bellend", the men-in-grey controlled H's behavior and managed H's public image very very well. The palace created the construct of a "cheeky happy chappy who loves Queen and country. Some laddish behavior included but what fun!"
After H married M, they exited fairly rapidly, so they never cemented a public image of "fun, loving, dynamic duo". Instead, due to the tv shows, interviews and books their established brand is "whining, toxic, negative duo" hence the desperate "joy, joy joy" rebranding that we are witnessing unfold.
Unfortunately for M, rightly or wrongly, the public perceives her as the catalyst for things to go wrong for H, when IMHO, without palace support and PR, H is utterly clueless and useless. It is just M entering the scene and palace support ending happened back-to-back. H's collapse in popularity is tied to his marriage to M for much of the public imagination...so IMHO, accountability will remain a foreign concept to H for a while longer.