Chrome exists to counter the previous platform browser monopoly from Microsoft, which was holding back the web from being a viable application platform. It was never been about surveillance and doesn't do a very good job of surveillance if that were the goal.
Chrome was created to counter the previous platform browser monopoly from Microsoft. Once that was achieved, it pivoted. First to making sure Google has a controlling stake in setting web standards, and then to surveillance. Surveillance features: FLoC, Manifest v3, Web Attestation. The surveillance features have often flopped or been beaten back, but they keep being introduced.