He has this completely soulless dead-eyed look to his face as he's waiting for Michael and Jan to arrive. It's…bizarre.

I believe all of Coburn's scenes from the theatrical cut are all intact in the Straight Up: Director's cut. The only difference is when he calls Bronson it's the voice of Sally Kellerman who talks to him, not Kris Kristofferson.

"and they cut out Fairfax, James Coburn's character."

No. But there is a scene where an innocent woman who he has gagged accidentally dies because (unknown to Parker) she had asthma. He feels guilty for about a millisecond and then returns to the job at hand.

Blame killjoys Chris Bidmead and JN-T for putting the kibosh on the humor, not Tom.