Exciting discussion. In general, I also believe that (electro)infrared heating only makes sense if the house is close to the passive house standard. Otherwise, it becomes an energy guzzler. But if the house has low power demand, it can be worthwhile to save a lot during the installation of the heating system, even if that means paying a bit more during operation.
However, I would like to qualify a point that came up several times here: underfloor heating is not to blame if the house becomes too warm. That may have happened in the past when 40° or more was sent through the underfloor heating. Then the inertia is a problem. Today, 25-30° go through it. This results in floor temperatures of 23 to maybe 27°. Physics dictates that a delta-T of at least 3° between the floor and the room must exist if energy is to be transferred. So if the room is heated to 24° or more by external loads (sun, wood stove), the underfloor heating CANNOT transfer energy to the room anymore. On the contrary: after several hours of heat, it absorbs the energy and distributes it in the house. (admittedly, that is academic)
With a properly designed underfloor heating system, there is no need to fear this. The only culprits can then be a too small roof overhang on the south side or the wood stove. Or the party. ;-) But this is the same in any house, regardless of underfloor heating. Which, by the way, is just another type of infrared heating operated with water.
What you should definitely give up on in a reasonably insulated house, however, are significantly different temperatures between rooms. This is neither good for the energy efficiency of any heating system nor for building protection. And I only know people who, after a short adjustment period, wouldn’t want to miss the new "way" of heating. My grandparents come from a farmhouse. Back then, they didn’t heat at night at all and only heated the kitchen in the morning. Eventually, central heating was added but was turned off almost everywhere, of course, because it costs money. By now, every room has its 20° 24 hours a day and they couldn’t be happier. My parents are also not bothered that there are no drafts in the new building anymore. And I renovated my old building for environmental reasons – but in hindsight, the comfort gain (even with reduced heating energy input) would have been enough of an argument. Every room is permanently usable, there is no more musty smell of heating air, and the floors can be walked on all year round without shoes. By the way, without thermostats and constantly turning knobs. A dream.