Agree 100%.
Personally, I don't like to leave the doe cull too late, but it all depends on selecting the right animal when you have the opportunity within the season.
Having said that, it can't be unethical or cruel. At the end of the day, in population management / conservation, what is the difference between shooting a pregnant doe and shooting a doe with fawn or accompanying yearling?
However, you could say the photo is distasteful in the context of posting on a page open to public view and would be better on a members only page. However, hunters should be exposed to this kind of thing - after all it can't be only about hunting bucks...
We might not like it, but some of us have to tread a fine line in this overcrowded PC mindful world. Perhaps less so in the wilds of Idaho or Australia, but I know just how much of a minority I am in where I live!