Until last year, it was possible to spoof the second level (though not the third), with an unlocked bootloader, but Google started cracking down on that hard and it's essentially a game of whack-a-mole. Because the spoofing requires finding the fingerprint for a supported device that hasn't yet been banned (of which there are a finite number), it's a losing battle.
That said, unlocking the bootloader on Pixel devices is less useful than it used to be, because of an expansion between what the base device already does and a degradation of what an unlocked and/or rooted device can do. There are fewer custom ROMs than there were a decade ago, and (unlocked) Pixel devices get rapid updates with long official support.
Rooting the device used to give you the ability to install custom adblockers and bypass screenshot restrictions, but Android now has better support for DNS-based adblocking built in, and they've now cut off the main loopholes that allowed people to screenshot apps that block access. I think it's now impossible to screenshot an app if the app has blocked screenshots[0]. Ironically, it's easier to screenshot or get videos of apps on iOS than of those same apps on Android - I don't know if that's because developers don't bother to implement the blocking APIs on iOS or some other reason, but more than once I've ended up having to pull out a backup iPhone in order to screenshot/record something I couldn't on a Pixel device.
Pixel phones already don't include most of the bloatware that comes with other devices, and the remaining stuff is built in and can't really be removed without impacting the core functionality of the device. So root access gets you a lot less than it used to, for Pixel devices.
[0] In the spirit of classic bash, I am asserting that it's impossible, half hoping that someone will take that as an opportunity to correct me: https://web.archive.org/web/20230711000352/bash.org/?152037