I’m weirded out by their “why need an account” explanation when Mullvad has a perfectly viable solution that doesn’t require one. “We don’t link your queries to you” is a vastly different claim from a “we can’t link your queries to you” one. Still, considering who we compare them to…
On a personal note, Google search is so infuriatingly shitty lately that I’d been thinking about switching to another service. This does look to be worth a try.
Mullvad can offer that because they generate you a one time access token that’s good until a certain time for a set number of simultaneous clients.
Kagi could do a simpler version - an access token that’s good until a certain number of searches. In fact, they have that mostly built - the link they tell you to use in private sessions is literally it.
Add to that anonymized payment options, and you got yourself a hard to track design.