It'll soothe your poor throat. The Sharer patient has been helped, feeling understood and cared for. He feels pampered when you insist. The patient can go on. But the Stoic patient has not been helped, and is in fact infuriated to the point of hysteria.
Stoics hate to be urged.
The essential point is that the golden rule of doing unto others as you would have them do unto you is a lousy guideline in the sickroom. I recently urged a friend who was feeling feeble to eat a little something. She agreed to accept a peanut butter and banana sandwich, the only thing she felt she could swallow. Yet it was apparently the right thing. I am comforted by tapioca, yet other people would rather be beaten to death with a decayed squid than let tapioca pass their lips.