Interestingly there were two mark place on these tickets: one for the bridge and one for the ferry. But separately a ferry coupon.
https://amelienorgaard.files.wordpre...7/img_1887.jpg
I have no clue what should be made of that, other than that it seems like policy and practice about the bridge crossing may be divergent. The ticket says travel in one direction; but if buying this ticket in, and immediately commencing travel from, Copenhagen, it's possible to continue in one (counterclockwise) direction and end up using the bridge twice.
It seems there is some confusion or lack of awareness about the pass. The most recent review here is interesting
http://www.tripadvisor.com/ShowTopic...n_Zealand.html
as it shows what kind of stuff to expect.
http://www.skanetrafiken.se/template...epslanguage=EN helps but it also may confuse things since the marketing language there opens the door to "unlimited travel" in Skane and Denmark as long as a few conditions are met, none of which explicitly cap off bridge crossings in the valid ticket period.
Maybe I need to ask the Skanetrafiken staff this question every day for a week to see how the answers change.