No. In most countries there are laws restricting what parents can do.

On the other hand, nobody is proposing a father figure running a country, so I don't see the connection here.

>nobody is proposing a father figure running a country

Nobody? Isn't that one of the oldest job descriptions or similes for a ruler?

Hell, even Stalin was addressed as "loving father".

You're saying that CEOs shouldn't be accepted in a democratic society? Because CEOs also have laws restricting what they can do