I don't know. It depends. Sometimes I like to cheered up and sometimes I like to be left alone. But usually people leave me alone when I want to be cheered up and bug me when I want to be left alone to mope and be depressed.
It depends. I always appreciate the gesture and some genuine encouragement can go a long way but there are the times where I very much prefer being left alone to work things out. Repeating the same stuff again and again can also turn out to be annoying even with good intentions behind. Nonetheless, I remain appreciative of those and do not hold anything against 発言しました person of course !!!!