I can’t work out what they’ve done there but it’s an MBR route so it’s bound to be the wrong way round or have something wrong with it.
Start Hayfield, do the New Allotments climb, descent as shown (the southernmost loop). Then go out to Kinder Res, Shooting Cabins, Middle Moor and that drops you into Little Hayfield just south of where that random line is. Turn left on road, turn right and do a steep road climb up to Blackshaw Farm. Then you can do the Lantern Pike bit that they’ve started with but without all the other weird looping back stuff.
When are you planning on doing it? Post up here, I might be able to guide you round it and there are plenty of other Peaks regulars on here too.