Yes, and no! A Willis intake/bottom connection could likely be placed lower than your bottom immersion heater could be located, and could therefore enable a greater volume of hot water to be produced.
My bottom immersion is extremely close to the bottom of the cylinder, so I don't think that's an issue.
Your bottom immersion heater, assuming you only have the one element, would mean that you are waiting much longer for a small quantity of hot water, because the hot will be diluted, by the circulation currents, resulting from the hot element.
We seem to be overlooking the fact that the whole point of having a DHW cylinder is that one nearly always has plenty of stored hot water, so all this talk about 'how long one has to wait' is, in practice, not very relevant.
The Willis system, provides a much more instantaneous small 'batch' of water, at the top of the cylinder, undiluted by the cold further down the cylinder, making it potentially more economic to run.
As above, if one has stored water, one expects it to usually always be available, so there is rarely a need for a "more instantanous small 'batch' of heated water". However, if all the stored water had been used up (and replaced by cold) and one had such a need, one certainly would not use the 'bottom' immersion to achieve that, for the reason you give.
As I recently wrote, the one issue with an immersion is that heater water has to rise through cooler water (hence getting cooled a little) on its way to the top of the cylinder. However, thatbecomes less of an issue the higher up the immersion is - and I presume that if it were possible to install the immersion 'right at the top' of the cylinder, then it would behave identically to the Willis system.
You also have the advantage of being able to stop the Willis producing hot water, all at your desired temperature, at any point which you decide is enough, simply because the boundary moves gradually down from the top, with none of the mixing, you would get with your bottom mount immersion.
Again, if one has a 'stored hot water' system, one will rarely completely run out of immediately available hot water - but, if one did, and wanted a small amount of hot water quickly, one certainly would not be advised to use a 'bottom' immersion for that.
I agree, your two element, goes some way towards addressing the limitations of your system.
I'm glad you agree to that extent. I would go a lot further and say that it goes a very long way to achieving what I want, and what I don't believe would be appreciably bettered by a Willis system.
One further observation/question occurs to me. If people have a 'hot water storage cylinder' but are often running out of hot water and need to generate some quickly, does that not mean that their storage cylinders are too small and/or inadequately insulated? As I have explained, although I have a 'top' immersion, I very very rarely use it, since a cylinder full of hot water is more than enough for us (and stays plenty hot enough) during the 20 or so hours between 'top ups' (heated by the bottom immersion).