I'm reluctant to use the term, but it applies. It's 'virtue signaling' and I presume it gives people an ego boost or a rush of endorphins. I doubt they really care, or have any true investment, they just want you to know they are morally superior and their peers to see them standing up for a cause, no matter how absurd.
My conclusion is, if you seek umbrage, you will find it.
That could better be described as a capacity for empathy, particularly in the context of genocide. "No real negative thoughts" is your assumption.
My objection is in the domain of ethics, as I think taking genocide lightly is an ethical problem for all of us (that is, for humanity, which I take to include you).
> I am ... able to say the word and not be bothered by the connotations.
Quite.