Google really worked at cross-purposes with its own agenda there.
If Google's agenda is to promote a progressive worldview, then a highly-credentialed man cultivating attention for rants about how using non-traditional gender pronouns is a road to gulags makes an unlikely champion, even if some of his more nuanced and informed opinions are interesting in their own right.
If Google's agenda is primarily to make ad revenue - which is better supported by the evidence - then having a flagging system and demonetising videos by people that annoy certain sections of society enough to get flagged a lot even if you reinstate them is probably a net positive for the overall value of advertising on Google's network. (I don't think Peterson's income has exactly suffered either; quite the reverse since his Patreon account will have enjoyed the additional publicity)
At every possible opportunity, in every interview and discussion, he's stated that his problem is not the use of these words, it's the prospect of forcing their use through policy and categorizing this as a form of forcing speech.
I agree with you that overall it's ended up as a net positive for him, at least income and publicity wise.
I never knew what could happen by bring a stickler for traditional English. (Adds a whole new depth to 'grammar Nazi')
Thanks for the massive wakeup call... I'm going to have to move to less capricious ways to use the internet.
Weird, then, how as soon as something went wrong with his life, he joined a far-right movement. (And seems to be very well-compensated financially for doing so.)
For example, some of the far right such as DS are anti-capitalist. We wouldn't say that anti-capitalist are far right, although some far right groups align on that topic.