Ok, clear on the Touring.
In looking at the schematics on Bike Bandit, the part you are calling a cat is shown as EXHAUST LINK PIPE ASSY and goes for about $181.
The small box contains baffling similar to that found on the psuedo cat boxes found on 2006 and earlier Standards/Classics. No cat material inside. Just a baffle box if you will. That would explain the heating that you are measuring.
