No, what you're saying is nonsense. I can burn a key into efuses of this phone to make it only boot things signed by me and make the whole boot path verified, OS image immutable etc. and all of this can provide me some value, but it's absolutely not in my interest to let applications be picky on what can or can't happen in the OS (even if they would accept my key being there rather than Google's, which they won't). The only thing it manages to do is to prevent me from using the device the way I want or need it to be used.
I agree about the part where apps shouldn't be able to see whether the OS is trusted.
But to remove that incentive you first need to stop punishing app companies for compromised user OSes from legal perspective.
Are you willing to absolve Google, Apple and Deutsche Bank from responsibility of damage that happens on compromised user OSes?