I think Pres played that Conn as well according to various biographical materials on him. But it can be after this particular horn exposed here.
In his biography of Coleman Hawkins 'Song of the Hawk', John Chilton recounts that Coleman Hawkins also played a Conn until his 1935 visit to the Selmer house in Paris where he was presented with a custom-built sax. The Hawk played Selmer saxophones exclusively from then on.
And folks, please note its BEUSCHER not Buescher or whatever.
Among other things, the French know how to build great saxophones.
Selmer and Beuscher instruments are Made in France!