Recorded at the same session as Picasso?
Let's question that assertion.
Or maybe Picasso was recorded a few years before release by Granz?
Otherwise, Moe Asch. That makes total sense.
I took the familiarity of the Selmer logi for granted, having played them fo 50+ years. But not everybody has had that exposure LOL!
Another factor - Selmer was at this time really upping the game of saxophone technology. From the Balance Action to the Super Action to the Mark VI, Selmer horns were always developing means for easier, faster fingering and a more easily even tone. They had competition from King, Conn, and Buescher, but Selmer pushed hard and eventually won the game (the King Super 20 was the last real competitor).
Ask anybody who has played other vintage horns - they can sound great and be played fluently, but it takes work. A Selmer (from Balanced Actions on) "solve" those "issues".
Selmer went off tack for a while in the 70s, and today's players have all kinds of options. But at the time under discussion here, Selmer was in a kind of war to prove there superior technology, and they were fighting it to win.
All that to say that if you wanted to position your product as a master horn for a master player, Coleman Hawkins was your guy.
So that particular record on that label totally makes sense.