We got new cards a couple of years a go due to some upgrade, soon after they also did something on all the readers. Nobody would tell me what and why, just that it was an upgrade. We have different readers cross the buildings, but all I have checked the name of per now have been a Assa Abloy model.
We do also use the bagdes for activating the copy machine, so it might be that the access system uses one of type of chip and the copy machine another.
I´ve tried readying the card with TagInfo (on iPhone), that did not work. I ordered a DT diagnostic cards a couple of days ago, but it has not arrived yet - I´ll try at as soon as it shows up! Thanks!