No Man is an Island.

One death affects us all. If I were to die, I would leave behind a family, friends, debts, a cat... even someone as isolated as myself would affect others by death. Besides that, being in a hospital is uncomfortable, painful, and humiliating. Would you really wish that on someone, or even yourself?

For that matter, even positive change is often painful--especially the kind that we do not realize is positive at the time--we pray for those things as well.

Anxiety, I agree with you. For me, prayer should be in behalf of the sick person to understand what is happening, and be comforted to the point that they can accept what is happening to them and whatever the final outcome is for them.
I am going through this now with my inlaw. Can't understand why everyone whats her to be miserable, uncomfortable and afraid. Oh  yeah, sister had a great line, "I am not ready for her to die." My consensus is that humans are too egotistical to accept another's fate graciously.  It is always inconvenient, burdensome, tragic, financially draining and socially awkward to endure for those not afflicted.

Remember "God willing and the creek don't rise, I'll see you in the morning."  Blasted curse!

No, I don't think so.  Yet, if the thought that you implant into the person who asked may help them accept the situation and speed recovery, then what is wrong with that?  My rule - if it makes the other person become peaceful, improve their life, then I can live with their  request. Doesn't matter whether I agree or not, it is the act of betterment for another human being that is the driving force.

Yep.