I think warm air is marvellous and wherever possible we advise our customers to keep it.
It is the most efficient form of space heating available, and as such, is exempt from Part L.
Converting an old 'on/off' system to a new Johnson & Starley System ET or modairflow with a modulating fan and pulsing gas valve will liberate significant comfort benefits and is reported (by BG) to be accurate down to 0.1C.
Most issues with warm air are down to installation or ignorance rather than the concept. For instance, many warm air heaters are capped off because there is no ventilation - when under certain circumstances the combustion air can be legitimately derived from the return air.
The 2000-on Economaire units are room sealed fan flued so address any concerns you could have over open flued appliances.
There is nothing intrinsically wrong with warm air; you can modulate it, filter it down to less than 1 micron to even remove tobacco smoke, it doesn't get full of sludge or leak, and it warms up almost immediately.
We are even installing them with unvented cylinders; I'm a great fan, if you will pardon the pun......