Baggage Policy on Swiss/UA Code Share
I think the answer the OP is looking for that no one is giving:
what it actually says on your reservation online is not what matters. that says the standard baggage allowance, it would never show the extra baggage you get with status. There is no need to call to get it changed, as there is nothing to change. If for some reason they try to charge you for the second bag (though the computer will likely recognize you dont have to at checkin), just speak up.