I'll dip out of this one, because I think the basic concept is mistaken, as to my eye it looks like accepting a compromised - perhaps unusable - conservatory and trying to put a sticky plaster on it. People should not be living in a conservatory repurposed as an inefficient air to water heat exchanger.
The better way is to catch it on the roof, and keep the living and heat gain separate. Make it a faux sun lounge which is suitable for summer use with a separate roof or canopy or put the conservatory where it belongs .. on the N side .. and have solar panels.
But do you have a calculation of how much water can be heated by air extracted from a conservatory as a sanity check?
According to my information x volume of water raised by one degree stores the same amount of extra heat as approx 3000x volume of air raised by the same one degree, and the volume of your conservatory is approx 60 cubic m, of which perhaps 12 cubic m are above head height, but there are many other factors involved, from insolation to efficiency of your heat capture process, at which point I decided I am offered more personal utility by going to bed.
Though crudely that implies with 20% system heat collection efficiency you will need to reduce the temperature of all the air in your conservatory above head height say 10 cubic m by approx 15C in order to add 1C to the temperature of a 100l bath of water, ignoring running costs.
Does @JSHarris have a suitable spreadsheet :-)
Sorry for the ramble.
Ferdinand