No? Caring is an emotion, to me; it might affect your actions but it doesn’t necessarily follow that it does.
Edit: E.G. you might emotionally care, but intellectually think changing the situation would make it worse on net; you might care about multiple conflicting things another of which takes precedence; you might just not have much of an opportunity to do anything (e.g. they live somewhere else and you can’t do anything over the internet, their problem is something unfixable like a loved one dying, etc.); etc. (I also wouldn’t take the expression of sympathy to require expressing desire to change the situation? Like, you wouldn’t want to express approval while trying to be sympathetic, but you might say, like, “I’m sorry” or “that really sucks” or whatever.)
No? Caring is an emotion, to me; it might affect your actions but it doesn’t necessarily follow that it does.
Edit: E.G. you might emotionally care, but intellectually think changing the situation would make it worse on net; you might care about multiple conflicting things another of which takes precedence; you might just not have much of an opportunity to do anything (e.g. they live somewhere else and you can’t do anything over the internet, their problem is something unfixable like a loved one dying, etc.); etc. (I also wouldn’t take the expression of sympathy to require expressing desire to change the situation? Like, you wouldn’t want to express approval while trying to be sympathetic, but you might say, like, “I’m sorry” or “that really sucks” or whatever.)