Oh man, I wish that we could have that here. One app from one of the bigger banks here, straight up refuses to run if you didn't download it from the Play Store (like Aurora).
The only downside to this is that banking apps won't work anymore. Some of them won't work without GMS, or with a custom ROM, or if Knox is triggered (Smasnug), or even if the bootloader is unlocked.
Unfortunately, more and more banks are deprecating their web apps in favor of mobile apps, 'cause who doesn't have a smartphone?.
"Mr. Webley, I trust you have a license for that firearm?"
"(mumble mumble)"
"He does for this one."