Now that John Meehan is the new Director of the Showband, I think there could be some changes.
https://www.dci.org/news/calgary-stampede-showband-looks-to-evolving-future-as-it-names-its-new-director
All he needs to do is convince the Calgary Stampede Foundation, who formed and funds the Showband, that getting rid of the woodwinds, would be a worthwhile venture. Here's some more information about them.
https://www.cbc.ca/news/canada/calgary/calgary-stampede-money-corporate-structure-foundation-1.4735486