On Pixel 7 if you press the power button, even for a long time, it will not shut off. Instead Google Assistant is popping up, which is very annoying and unintuitive. Not sure if they fixed it for the Pixel 8.
Pixels are great phones, I've been on them since they were still called Nexus. There are hints of enshittification, with Pixel-only features and what not, but it's not gotten out of hand yet, and I will argue Pixels are the best (non-de-Googled) Android experience -- as they are meant to be Android showcases.
(and you can disable it from settings if you'd rather not have that)