These are not compatible with each other despite being very similar. The former uses the browser.* namespace and the latter uses the chrome.* namespace
>>> The page you're viewing describes extensions using Manifest V2. Now that Manifest V3 has launched, we strongly recommend that you use it for any new extensions that you create.
The soonest it could happen is _January_ 2022. [1]
Google intentionally won't set a timeline here because they're more interested in finishing and getting promotions than what's best for users and developers on their platform. So they want to make the period as small as they can get away with. The fact that Google has ignored so many requests for a timeline here should tell you that they are happy letting MV2 die on the earliest stated date. Otherwise they'd communicate a later date when asked!
[1] https://groups.google.com/a/chromium.org/g/chromium-extensio...
WebExtensions is still Google's browser API. Mozilla implemented it so they could support Chrome extensions, but they didn't inherit partial ownership as a result of that.
I also think it's premature to say it was "forced on the world" when Manifest V3 isn't even released yet.