They’re probably upvoted because their writing resonates with a lot of people.
2. Sexism can happen even when everybody cautiously avoid talking about the author's gender.
I'm summarizing your assertion. If it sounds silly and a stretch that's because it is silly and a stretch.
> 2. Sexism can happen
Yes, I entirely agree. Yet, you're also fabricating sexism out of thin air.
Just because this blog post was not unanimously and enthusiastically well received that does not mean gender was a factor. It might surprise you but women are regular people too, and as regular people go they can also occasionally say or do silly things.
Summarizing done well does noy change the meaning, you just interpretated things some way.
In fact it looks like you are replying to claims nobody but you are fabricating.
They want you to name a dog, just go ahead and name an effing dog! How hard is that? Unless they are asking you to wear a toga on day two just go ahead with what is clearly a process trying hard to please everyone and not complain about simple things?
The way I read it, HR gave a "test" where you're supposed to find employees (and their dogs) in some internal company directory, with a time limit. And stated that the "results" from this test would be shared with the participants' respective managers.
Silly games at work can be OK at times, but what is the point of this, really? I don't think it's "lame" to "complain" about; venting is good, and IMO calling out some of the bullshit with your name attached to it is gutsy, not "lame".