For instance, the weird authentication scheme that gives rise to the RSA key recovery attack --- that problem is what PAKEs are for.
That is my point exactly, it should be how they think about it. Attacks to the cryptography math itself are only a single vector, the software implementation of it is going to have holes not to mention those beyond it from the hardware at the chip level to the firmware that runs it there are vulnerabilities well outside the math itself.
In addition a lot of security when things are fragmented tends to become "security through obscurity". Something that is a small player in a market can still have all sorts of issues that a state-funded actor can find via analysis and exploit. It's also much less likely to have a public actor find and disclose the issue due to the small install base.
I worry this then just means government actors only will need to find 1 vulnerability to have open access to a standardized web and those vulnerabilities will exist, nothing is perfect. I genuinely believe a non-standardized approach is more effective even if they are each more vulnerable individually.
Android presents a decent corollary here vs iOS. Finding an iOS device exploit may cost more money but you get access to such a massive amount of devices it is worth it.