MotoGP saw a lot of unpredictability this year, due in no small part, it seems, to the tyres being a bit of an unknown.
So if F1 has multiple tyre suppliers, perhaps no tyre testing, and then the suppliers are randomly picked (using a draw like what is done ahead of the Champions League) for each set of (insert number of tyre suppliers) races, then that might work.
Michelin wouldn’t be intersested. Pirelli or Bridgestone probably not. GT Radial, Hankook, Achilles, Aeolus, LingLong and their lot might be though :P
Wouldn’t be an improvement to DRS, but at least would be the same for everyone.
Of course, F1 being F1, if they ever do this (I don’t think that’d be a really good thing) they’re not going to drop DRS. It’s like where I come from – if the price of petrol goes down, vegetables and meat won’t really follow suit.