I now live in Munich, which also calls itself a bike town. Although there are a lot of people riding their bikes, the streets are not at all as bike friendly as the ones in Münster. Each trip is somewhere between a suicide mission and a pleasant journey depending on where you want to go.
In Freiburg, you can only take them along in trains, not buses or tramways, and it costs an unreduced adult ticket most of the time on most of the lines. You can't even buy your bike its own monthly pass. So while the city itself is bike-friendly, its public transportation is at most bike-tolerant.
Sure, compared to towns like Münster, Freiburg or Amsterdam, Munich could offer better bike support, but there are still lots of bike lanes and you are rarely forced to use car lanes, so I would still consider it quite bike friendly.