Do you think that Rumsfeld cared about outside groups outside his department? His bosses were the POTUS and the VPOTUS.They made the decisions.
Yes, I do think that he cared about both his image and how it affected others - as most normally would. Do I think that he made decisions based on just that, no I don’t.
I think that between he and Bush, they made decisions that were not necessarily cost effective but good for them.