It's actually the crux of what we are discussing - and is just like an immersion. If one creates/introduces heated water at some point within a cylinder, it is primarily the water in the cylinder above that point of creation/introduction which will get hot. Just as an immersion high up in a cylinder primarily only heats water at the top of the cylinder, so would the same to be true if the feed from a boiler is high up. If one wants to heat all of the water in the cylinder, then the ideal is to have the immersion, or point of connection of the boiler feed,, as low as possible in the cylinder.I don't know where the heating pipe enters, because I have never had one, but I'm puzzled as to why it would enter halfway up. I cannot see the purpose at all ...
However, in the case of the boiler, the two points of connection have to be an appreciable distance apart, so as to facilitate circulation by convection - so, with the 'out' pipe near the bottom, the 'in' one has to be appreciably higher, often near the middle as per the diagram I posted.
It may sound silly, but the equivalent of connecting the heat source (either back boiler of Willis heater) to the outlet pipe of the cylinder (i.e. 'above the top of the cylinder') would be to have an immersion hypothetically located 'above the top of the cylinder' (maybe in a hypothetical 'second cylinder' above the main one) - and, in either case, there is no apparent reason why the water within the cylinder should get hot.
I meant what I wrote. I was saying that because, in the second diagram, heating of water in the cylinder by convection would not be possible, the only way in which the water in the cylinder could 'warm' at all would be by conduction (primarily through the material of the pipes and cylinder).You said 'conduction', it is not conduction, rather it is convection - a convection current in water carry the heat to the cylinder.
Once water heated by the boiler got into the cylinder, it would, of course, rise to the top of the cylinder.Your back boiler would none the less, collect the hotter water at the top of the cylinder.
Kind Regards, John