I disagree. I see them as very different value propositions.

Chrome OS is about giving you a baseline (80-90%) computing environment with as little administrative overhead as possible (easy to setup, easy to share device, no driver issues and so on). That's why Chromebooks are doing well in the education sector.

By contrast, an Android convertible like the Pixel C is about giving you a general-purpose Android environment in a different form factor.

There's some blurring around the edges (Android has a Chrome browser missing some desktop features, Chrome OS can run some popular Android apps), but they're nevertheless aiming at very different targets.