Whilst waiting to see if anyone has made and drunk their cup of tea and is prepared to contribute to this discussion, it has occurred to me that there is another way of looking at some of this issue which may help you to understand ...I suspect anyone with any sense, will have gone off to make a cup of tea long ago
.... we are agreed that, in the real world, there will always be some 'dilution' due to mixing of incoming ('replacement') cold air with the (heated) air within a house, the primary difference between us being in relation to the degree and importance/desirability of that dilution in various situations.
One has to realise that this dilution (due to mixing) cannot be selective - it applies as much to mositure/smells as it does to heat.
If (probably not practical, but convenient for discussion) the heated air were diluted by incoming cold air by, say, 50% , then, in any given period of extraction, one would only lose half as much heated air than would have been the case without dilution. However, in that situation, the moist/smelly air that one wanted to extract would also be diluted by 50% (by mixing with incoming non-moist/non-smelly air) by 50%- so, in any given period of extraction, one would only extract half of the amount of moist/smelly air than would have been the case without dilution.
If, with the dilution, one wants to get back to the amount of extraction of moisture/smells as would have been the case without dilution, then one has to either double the extractor flow rate or double the duration of extraction - either of which would also return the amount of heat loss to what it would have been without dilution.
"50% dilution" is obviously more than one is likely to see in practice, but the above argument applies for any degree of dilution.
Kind Regards, John