I think it's a different matter. A viewcounter is seen as a stateless counter, increasing for every view/user but not going beyond that; Netflix's analysis is seen as stateful tracking, one that tracks a user through his consumption of data. Also, the former is content-focused, whereas the latter is arguably user-focused.
That's just a really simple example. I'm sure you could do much better with advanced AI techniques and more "anonymized" data.
Just some anonymous search strings can give you people. And that was in 2006 so nowadays with the quantity of informations people make public you'd get a lot more results.
Ideally netflix is for the most providing employees/systems with anonymized analysis. Definitely there's always a question of what kind of direct access employees have of sensitive data and I will agree that is a general question even without this tweet.
[1] They already do this with the privacy policy, right? https://help.netflix.com/legal/privacy
Personally, if Joe Netflix Employee really can browse viewing data (and I don't know why everyone is assuming that's the case), I'd think stories like this probably wouldn't get shared at the water cooler, just because there'd be so much bizarre behavior that nothing would surprise anyone.