I would think that you are right to suggest that approach for those people who are only moved by logic, and have no emotional attachment to principles, or other humans, but come on, when was the last time you found yourself surrounded by those types of people? And, unfortunately, some like that are incapable of caring.
There are many who are moved by emotional appeals, and I do not think there is any call to prioritize one method, and group of people, over the other. We need any and all, for whatever reason, to join in trying to end this slaughter.
Now you may assess that this particular group is not the right one for those types you wish to address, and you might be right. Let us know which are the groups with those logical types that we should be talking with. And what is it, we are supposed to ask those folks to do with the information we pass on in that logical fashion? Because if we don't have any suggestions for them to do anything, then what benefit would come from talking with them in that way? Just curious where/what you want this to lead to.