Nah there have been high gain amps made for decades with the same damn tubes without any issues, amps that have several more gain stages than the IIC.
If an amp needs some pricy NOS tubes to not squeel like a pig, then that sounds like either the original circuit is not stable, or there's some issue if it does not occur for every user. To me it sounds like something Mesa should solve, even if it means deviating from the original. To my knowledge Mark V or VII don't have any similar issues.
The only time I've been able to get that sort of issue happening was with an amp absolutely cranked, using long plate preamp tubes that are known to be more prone to microphonics for example.