Somewhat true, but not always. I have had two cats who showed considerable consternation and concern when I was ill.
I think they show it differently than dogs do, when they do care.
I think they show it differently than dogs do, when they do care."
Agree.
I had a cat that didn't like to see me sleep. I don't know if he thought there was something wrong with me, or what. But now and then I would lie down on the couch and pretend to be asleep, while watching with my eyes slitted.
The cat would sit there looking at me with this---I swear---alarmed expression. After a couple of minutes, he would walk halfway over and sit again, and resume concerned staring. Then he would come over, stand on his hind legs, and pat my face with his paw.
I have come to the conclusion that cats are not aloof or withdrawn but it is that people treat them that way and so they respond in kind.