I will boil up some water to drink when having a sore throat, I actually prefer it to tea when it's really irritated.
Usually I will have my water tap cold.
I find ice to be a hassle (melts too quickly and takes to much space in the glass) so I never seek it out. Water that is iced in the mug however is nicer, but less common to find.
Out of the three options I would rank their them:
1. Tap cold, just perfect, neutral, always satisfying and no effort to have.
2. Iced, fresher but with a bit of a sting making it less satisfying and often too much work.
3. Hot, flat and boring taste, less effort to have than iced, but functional for its purpose.
Bonus: room temperature, a nasty surprise.