I think my problems with it are immersion and feel. A game has a certain feel based upon the rules you use. I really don't want any fast healing that does not come from a spell caster using magic. I'm not tied specifically to a cleric though. Bards, Rangers, Paladins, etc... can all heal but they call upon magic to do the healing. I just don't go for non-magical healing. It disrupts the narrative and breaks my suspension of disbelief. I realize that you think because a dragon is in the game that I should be able to suspend my belief completely on any other thing. I guess we just differ. There are many fantasy movies full of all kinds of exotic creatures that succeed at the suspension of disbelief test and there are others with the same qualities that fail that test. So I can only guess that acceptance of those things is okay and other things is not okay.
One point maybe is that I want the normal human mundane part to be non-magical. Not because I can't conceive otherwise but because that's just the type of game I like.
Why do some people like apple pie and some like cherry pie and some like both? It's taste. It's hard to argue with a person that their distaste for one or the other is illogical. In my games, I've never played with non-magical healing and I never imagined the damage being done could possibly be healed by non-magical means. My narratives all have to change to fit this new paradigm. I'd rather change games than change my narrative.
To be honest on the rate of recovery of hit points, I'm probably a moderate. At low levels I definitely see it as a scarce resource that is not necessarily topped off every night. As levels advance though I see it becoming less scarce. So my preference really isn't about scarcity though the solutions may intersect. I take issue with HD overnight recover not because it's too fast but because the original of the healing doesn't fit my narrative.
Ok. So what I hear you saying is that you don't object to matches, but you object to strike anywhere matches and lighters are jake.
That's not a playstyle. That's a specific preference which is "I don't like non-magical healing" - It doesn't change the amount of HP regeneration available, only who has to provide it.
This is the same as someone stating they are part of a political movement. What is their entire platform? "Strike anywhere matches need to go."
That's a single issue. That makes you just like the single issue voter - unable to be supported in general because no compromise will ever be available. Unless the solution is tailored to your exact specifications you will be upset.
You don't have a platform - you have a very specific requirement.
Again - the person who "Doesn't like Matches. Or lighters" is someone you can have a conversation with. Maybe they've had their house burned down by a fire started by someone with matches. Perhaps they just think the danger is too great. But you can talk about fire reduction, safe zones, where matches might be appropriate and whether lighters need to go. Maybe they just want fires to only be in specific places. These are things that can be crafted towards and worked around.
You just don't like strike anywhere matches. Matches are fine, as long as you bring the box. Because the box is required.
You don't like non-magical healing. Not that there's too much healing in general, only "Non-magical". Cure light wounds potions and wands are OK as well - as long as it's 'magical' healing. That's...the unintended 3.x paradigm in a nutshell. And it has the same issues that people often accuse 4E of having - the party can trivially get back to full health between encounters. The outcome is 'healing is on tap' - having issues with specifics is what houseruling is for. Just don't expect it to be officially supported because the play-style "Full HP between encounters" is supported. I mean...if it is that's great for you but I would expect WotC's answer to be along the lines of "You get the outcome with this dial. You get another outcome with the default dial. If specific details are important for you Rulings not Rules and DM Empowerment."
That's not something a major company is going to be able to accommodate again unless there is a very large number of people that feel the same way and then they'd need to build the game out of it.
And yes - you very well may wish to swtich games - HP isn't conductive to representing actual wounds very well. No amount of 'modularity' is going to get around a core statement of the system (HP is an abstract countdown timer until 'dying' that doesn't represent in any way individual wounds or specific injuries just a gross symbolic abstraction of how 'close' a character is to not being able to carry on). At best the dials can adjust how much or how little HP is regained and when but not make HP something that they aren't.