The installer will give you an estimated energy use based on a typical year in the U.K. based on the MCS formula.
You can’t fit a pump to an unvented cylinder, they operate at mains pressure so it doesn’t need it anyway. There isn’t a material pressure loss going from first to second floor unless your plumbing is stupid.
MCS guidelines dictate how big the cylinder should be, it’s based on number of bedrooms.
https://mcscertified.com/wp-content/uploads/2019/08/Domestic_HW_cyl_selection_guide.pdf
How much hot water you actually use depends on the temperature of the cylinder, the hotter it is, the more energy it contains. Typical shower temperature is 37-39C, typical incoming cold water temperature is above 10C so you are mixing 50c water down to 38 with 10C water 1L out the shower is well below 1L out the tank.
Your temperature probe is at the bottom of the cylinder, the water at the top of the tank is more like 55C.