If we discount recovery of a MayDay aircraft, since 1965 I've rarely had a problem transiting Willy. However, the consistent theme would appear to be that they do Mil ATCO training there and if one has a hassle, it's usually from one who sounds like it's his first day on the job. You get the greatest flexibility at places like AMB and TN where the TWR ATCO is usually both TWR and APP rated with a radar display [and may be doing both jobs.]
Otherwise, it's fine.
G'day