And how do you know to stop drinking potions / channeling Heal? "About to die" and "no clue" are not a valid continuum of data.
IMHO, of course.

edit: but if I get down to it, I'll never come around to the mode of thinking given here. Partially, because my background/personality considers information to be important. And partially because I just don't believe in this mythical "immersion" thing. Certainly not enough to harm the playing experience by blindfolding and hobbling yourself. Ah, well. I'll refrain from responding further.

Playing a certain way doesn't necessarily make you more or less "hardcoe". I know that some people seem to get offended or something when someone makes a post about playing with "Perma-death" or "hardcoe playstyle" ala Minecraft's "hardcoe Mode" but really to each his/her own. You shouldn't worry about how other people play if it's just not for you. Don't let it bother you.
I really don't care if someone makes a mod to make the game more peaceful and turns all the dragons into Moogles and Unicorns. If they enjoy the game like that then that's great. TES games are sandbox style games that are more about playing them however you want to.
I find the game's Immersive UI clues of bloodspatters on the screen/blurring and heartbeat are clue enough for me that I'm hurt/about to die. It works for me because I'm playing a warrior - no need to worry about Magicka, since I don't use it. My goal is to avoid being hit/limit damage by blocking arrows and power attacks and otherwise take as few hits as possible while taking out the enemy quickly before I or any NPCs that might be on my side are killed, so regardless of the information, my strategy is pretty much the same. I rarely use food or potions during combat unless I have a short break between opponents or I can strategically back into a safe corner and drink a couple healing potions, etc.
I find playing like this "more immersive" but it doesn't mean you will. I'd rather not think about the stats in Skyrim, but I come from a pen and paper RPG background so I think I understand where you are coming from. "wait - how many hit points do I have left? Do I need to heal myself before going after the next enemy?"
To each his or her own; just enjoy the game and don't worry about anyone else's playstyle if it bugs you.