I have recently looked at this issue as many taps now require a minimum bar reading to work. They are fine when the hot water is pressure fed from the mains with a combi boiler, but you cannot get enough fall from the cold water tank for the tap work. Where I am just getting all of the stuff sorted out for fitting a new bathroom I have gone for a more expensive (compared to cheaper high pressure) low pressure taps. My en-suite shower was always low pressure, so years ago I fitted a surrey valve and cold / hot pump.
On the continent they generally have no cold tank (ours is a Victorian intermittent supply legacy) and direct mains pressure to the hot water tank. The hot water tanks are very well insulated and use an immersion heater. The one in the Ukraine also have a built in thermometer. Where we are in the EU, cheap high pressure taps are becoming more and more common.
My suggestion would be to look at pump pressure sensitivity and if this doesn't fix it then replace with a low pressure tap.
Your tap has a 0.5 bar minimum which requires a minimum 5m (16' 5" drop). If your house has a standard 8' ceiling height plus 8" first floor rafters and 6" in the loft, then you don't have enough water head height where your kitchen cabinet and sink are 3' off the ground. If the loft height allows you could mount the water tank 3' off the loft floor on stilts, but this maybe a lot of work for no improvement or alternatively suggest to SWMBO that you have the perfect solution and she can keep the mixer tap, "we will have an inset into the floor sink to get the water pressure" and then beat a hasty retreat.
