There's a 'simple' solution to this - and to Mercedes testing tires and everything.
Just give all the teams ... hours of testing with one or more tire solutions Pirelli comes up with, and give them the same set of equipment to monitor the tires so it's down to the skill (not the wallet) of the teams to find what they can do with them. At the same time Pirelli is getting the data from all the cars from this year and can look into the potential causes of the problem.
I think Pirelli will agree on it that the drop off is a bit too sudden right now
I don't think they have the belief tire blow outs in F1 are good for their reputation and will boost sales, so they'll be determined to solve it as much as the fans want to see exciting fights not abruptly ending because of technical failure.