Why the hell would you pay for search when the free competitors are just better
Also it’s automatically not private when it requires a login. They know exactly what user is searching what, and basically breaks search in incognito mode. Also people love more accounts to manage.
“If it’s free then you’re the product” isn’t even true when search engines are ad supported, so stick with the much better free alternatives.
If you really want to pay while not having to login, self-host a searx instance and you’ll be logging your own data. You’ll have complete control, it’s significantly cheaper, and it’s far more private without having to even login.