Talking about thick slabs is a bit tangential (sorry for the distraction) but mildly illuminating. Yes, the real control to make a wall thermostat work is that you don't heat the slab too hot. Fine with ASHP, perhaps, but might well be more awkward with, say, a non-modulating boiler (e.g. an oil boiler) unless you add a buffer tank as well or have a control system somewhat like @TerryE's where you count how many joules you're putting into the slab.
Which brings us back to the @SteamyTea vs @Nickfromwales discussion: why might it be better to put higher-temperature water into a thin slab for controllability? I think we need to know more about the control system which @Nickfromwales has in mind if we're going to get anywhere. I'm having a hard time imagining one which would work better with hotter water rather than water just a few degrees over the desired slab temperature.