No one wants that, most websites become broken by taking pro-privacy measures. It's about not consenting to tracking. Right now the majority of users are implicitly giving consent to tracking.
It seems like a harmless thing to be tracked, but once the likes of haveibeenpwned.com came out and the databases that fuel it, and services that provide search utility to those databases, it should become clear that being tracked across every single website on the internet is probably not what you want.
Scenario: You apply for a job, they look up your totally-clean email address, see the email linked to an ip address on some database from a leaky website you applied for a job on, the ip address is linked to a service where you used a certain password which you used on 6 other services, one of which had a database leak of your system fonts, now you can see all the accounts to services to which your system fonts were identically matched. Oh look, you were 13 years old when you joined stack overflow on an abandoned account and you posted some humorous, incorrect solutions that were down-voted to oblivion. But that's ok, they invite you to the job interview and they make a funny remark about your stack overflow answers and then offer you a job. Do you want to work there now that you know they completely invaded your privacy ?
So in this scenario, if only you had used the Mullvad browser then... you wouldn't have have found out this employer snoops on their employees and might have accepted their job offer? You've concocted a scenario where a privacy-focused browser ends up causing you problems.
I'm not advocating for this browser specifically, only encouraging more people to take pro-privacy and online safety measures.
It's pointless to say the problem is the employer, or the hacker who released the data, or the programmer who relied on bad algorithms, or the admin who didn't secure the data. One way or another, this data will get leaked, the old hashing and encryption techniques will be broken and there will be people searching through it all. Forget about the government, at least they are beholden to law and maintaining the appearance of adhering to it. Substitute employer for neighbor, girlfriend or internet stalker and you have equally valid scenarios which are even more disturbing in my mind.
It seems like a harmless thing to be tracked, but once the likes of haveibeenpwned.com came out and the databases that fuel it, and services that provide search utility to those databases, it should become clear that being tracked across every single website on the internet is probably not what you want.
Scenario: You apply for a job, they look up your totally-clean email address, see the email linked to an ip address on some database from a leaky website you applied for a job on, the ip address is linked to a service where you used a certain password which you used on 6 other services, one of which had a database leak of your system fonts, now you can see all the accounts to services to which your system fonts were identically matched. Oh look, you were 13 years old when you joined stack overflow on an abandoned account and you posted some humorous, incorrect solutions that were down-voted to oblivion. But that's ok, they invite you to the job interview and they make a funny remark about your stack overflow answers and then offer you a job. Do you want to work there now that you know they completely invaded your privacy ?
And yes, performing such searches is trivial.