It already is, with the fact that Google forced OEMs to pre-install Chrome on Android phones if they want to be certified. Funny how there's no uproar on anti competitive like IE on Windows. Google gets a complete free pass.This is great from a competition standpoint.
At the same time, Chrome currently occupies 66.18% of the desktop browser market (statcounter.com), with other Chromium-based browsers occupying some more. What's to say that Chrome/Chromium won't do the same on mobile?