I guess you need to differentiate between MAN as a dump of an airport with various rip-offs, against the CX vs other airlines experience - which I guess is pretty similar as the airlines can't really control it that much.
As far as I can tell the "fast track" sticker of old has been removed and now the entry to the priority fast track is automatic for any business class customers. Note that the last time I went thru (about 2 months ago with QR), the fast track lane was a worse outcome than going non-priority as there was a single lane (the second lane only being used for crew) and there was an overload of bags, caused by their completely pathetic super sensitive scanning practice that seems guaranteed to pull approx 50% of bags off the line. We got into a logjam, that took 20 minutes to remove, and caused a massive backup. The solution would have been to use the second crew lane (completely empty) at least a little bit to scan the extra bags that needed a rescan, but the staff didn't do that. Aka, maybe don't worry that much (I am aware that sometimes the normal lanes are just horrific of course though

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