If the mucky-mucks aren’t going to read what they are signing, which I have no problem believing, then there’s no point in having them sign them.
Figure out how far up the chain people actually care about what they are signing and stop the buck there. Granted this will mean some relatively low-level staffers have the actual responsibility, but surely the higher-ups would welcome the lack of blame that can be attached to them since they are clearly just figureheads.