Although my brakes are not standard Kawasaki Zed, being GSXR 4-pots, this may help one of you?
I had difficulty bleeding my front brake system. Try as I might the only way to get the brakes to work was to rapidly pump 'em & then they felt spongy. I tried many times, over several nights to no avail

I even tried using a big syringe and pump fluid thru' the bleed nipple


Finally, 1/2 hour ago, I noticed that as I applied the brakes, the left hand disc was flexing! The caliper was not lined up correctly and had a couple of washers behind it. This flexing of the disc meant that the lever piston stroke was not enough to take up the flex & apply full pressure to the pads! This was the spongy feeling (disc flex). I've now disconnected the l/h caliper & with only the r/h connected the brakes feel soopa doopa

I will either shim the l/h caliper or may just run with 1 x disc, as the brakes were too good before, anyway!