oh no you want some trendy .in or other domain name? sorry can't use your favorite CA, got to use the crappy one that leaked keys

Well yeah, or have the website define which CA they use, and don't let any of the others certify it. Apparently there is already DANE for this but webbrowsers don't check it.

Besides, there could be more CAs supporting .in of course. And it becomes a matter of responsibility to the local government.

And national TLDs aren't meant to be trendy anyway. Many have restrictions on them to local businesses anyway, it would make sense to have the local domain authority have control over choosing CAs as well.