As for Sheyko, he used to be one of the coaches for the Soviet junior weightlifting team and his system is based on the Soviet weightlifting methodology.
He prescribes a lot of volume with sets far from failure. Typically, one does about half of the reps or fewer compared to the fresh RM, e.g. 85% x 2 (likely 5RM), 80% x 3 (likely 8RM). And with lighter weights in back-off sets the ratio to RM is even lower, e.g. 50% 1RM x 10.
The average intensity is 70% and the main training weights are 80 and 85%. The lifts are trained multiple times a week and the frequency increases with experience, e.g. beginners bench 3 times a week, intermediate 4, etc. Loads are carefully waved. A typical four week cycle in the prep period starts with a high volume week, then the volume drops in the second and third weeks as the main weights go up to 80 and then 85%. In week four the volume is the lowest and the lifter might hit 90% for a couple of singles.
It is a great system that builds a lot of strength safely. To understand its origins read "How Russians Pressed Overhead" superfeature in PTP Pro and anything you can get your hands on about Soviet weightlifting, especially Vorobyev, Medvedev, Roman, Chernyak.