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Yeah I've got these E4s and also some RX4s, which were a nause to get setup right. I've got no trouble aligning a caliper, it's the piston balancing that's not easy with these new pistons. There seems like a fine line between seal hysteresis and the piston actually sliding through the seal itself. Anyway, I fashioned a pad spacer out of a tin can lid earlier, which seemed to put me on the right side of then being able to balance them again using the screwdriver technique. Seems much better. And like you say, Hope's tend to start working once you actually ride them for a bit
If its flat mount then make sure your mount is proper mega flat and faced properly, hopes' run a very close tolerance at best of time, and when they are new they will mostly rub the rotor for a minute or so after every brake application, this is normal with them and will either go away or cause you to go insane.
Was talking to the hope peeps on a stand recently and the road flat mount calipers they've had some issues with rub, new piston style (like a steel sleeve pressed inside the alloy caliper?) helps reduce that though not seen many new ones to really know.
A bit of white paper on floor under bike is all I often use when bike in a workstand, helps be able to just look down through the caliper and set it on the fly. I tend to do it with wheel gently spinning and just kind of freehand it until it shuts up, then road test, then check it again, repeat until disc perfection is reached.