Gmail wouldn’t really be competitor to Google search. YouTube definitely could be though. Chrome isn’t a viable company - GCP is pretty fledgling but possible.
Back in 2019, someone tried exactly this and was blocked by Google as they didn't want another web browser on the market: https://blog.samuelmaddock.com/posts/google-widevine-blocked...
https://www.windowscentral.com/how-to-fix-slow-edge-youtube
If a company the size of Microsoft decided to throw the towel and use chromium instead of their own thing, what can you expect an startup to do?
I personally believe the way Google operate Chrome is one of the reasons it is all but impossible to seriously compete with Google Search. But I'm not the judge.
Even if they bought a prototype, the acquired the company to execute something Google would have struggled to without the talent, so IMO divining if Google were interested in the product or the personnel is splitting hairs.
1. I have never worked at Google, I'm pulling this information from my recollection of reports & forum submissions back then.