Totally agree with this.
Where I tend to disagree is when perfectly reasonable work arounds are proposed and rejected, simply because they don't baseline to a particular viewpoint. 1 day healing as a baseline is more flexible. It's much easier to simply slow it down, since, for most players, it doesn't really matter - it's going to be one day whether by rules or by spending healing resources. If we baseline a much slower healing rate, the only way to get a faster healing rate is to introduce a higher baseline of magic. Which has all sorts of knock on effects for campaign design. This was largely the default in 3e and earlier editions.
I think your assumptions here are not correct. For most people natural healing time does matter. That is why we have these constant back and forths. It was one of the central points of dispute in the controversy over 4e. Really all you are saying here is we should accept 1 day heals and work around them with modules. While that is exactly what I plan to do, I think one day heals bother enough people that having that as default is a terrible idea. It will only serve to drive away potential players. It is very easy to do baseline natural healing that is inline with previous editions (days to weeks) and simply have an optional 1 day heal rule for people who want it. That is incredibly simple.
I'm just trying to see if the base problem is simply trying to use HP for something that another system might be better at tackling. I do honestly believe that wounds are better modeled with the disease track. It opens up all sorts of interesting goodies when you decouple wounds from hit points.
But lots of us keep saying we don't want a wound system. We are happy with the simplici of traditional Hp and think it works just fine when used to loosely model physical damage. The only problem I have with the Next system is the HD mechanic and one day heals. Take those out and I am a happy man. The last thing I want is more fiddly bits surrounding HP.
Since the link was always tenuous to begin with, I'm not seeing what's being lost.
Simplicity and functionality. Tack on wounds to Hp and the game not only gets more complicated, it plays differently (some of the d20 variants showed this). That is all fine on its own, but it isn't what I want from D&D. Like I said before. I am totally fine with pre-4e style HP and heaing. I thought it worked great for what it did. They could easily satiafy both camps by making that baseline, and just hacing 1 day healing and HD as add on optional rules (and if they prove popular they will become defacto core over time -like NWPs in 2e).