There isn't too much in that video that was properly or efficiently done.
Reassembly as follows: lube then install square cut piston seal into the caliper bore. Install dust boot into its groove, seating it all the way around (without the piston). Lube the piston, now, while applying very low pressure air into the brake hose fitting, push the piston onto the dust boot and the air pressure will pop the seal over the bottom of the piston. AS SOON as that happens, discontinue the air and continue to press the piston into the caliper bore. When the piston bottoms out, make sure the dust boot is seated properly into the piston groove.