The way I'm thinking right now:
The "correct inflation" could also mean whatever that puts out the fastest lap time, even if it means outside of recommended operating range because that's how you gain competitive edge.
Notable examples were the camber angle that's used by Redbull in 2011.
Then there is "recommended inflation", which would come from tire testing rigs, giving you the optimal camber/slip angle at certain load, plus safety envelop.
All cars are different; some are kinder to the tires(Lotus, Ferrari, Force India) and some are not(Redbull, pre-illegal-testing Mercedes).
The tires are the same for everyone.
It maybe worth noting that all the cars that had tire blowouts had the tires flipped inside out. It was found earlier in the season that teams found performance gains for doing so, despite the tires being directional. Pirelli designed the outside wall to deal with high loads of cornering, etc.
In the case of F1, higher tire pressure contributes to sliding around which lends itself to more wear, especially on the rears. Lowering the pressure would alleviate the issue, but would put more stress on the sidewalls.
The FIA demanded crappy tires from Pirelli, and Pirelli complied.
Teams, being what they are, will do anything to win. There is a saying "If you ain't cheating, you ain't trying" afterall.
Some gambled. They lost. Don't blame the game since it's same for everyone.
Teams should quit crying and carry on, imho.
But in the safety aspect and for the drivers, should Pirelli and the FIA mandate pressure/camber angle/orientation and enforce it?