I like the deeper but not much louder aspect of the "baffled" Arrow can too. But my Arrow wouldn't be "bag safe" IMO -- not ashamed to say, I've never tried touching it hot to find out.
Your heat reason is a great one and a very valid one. Good thinking.
If yours is like mine, with the baffle out it emphasizes the "dirt bike" type of sound when you blip it between gears etc. and would make it more safe / audible in the bush if there was limited visibility. Would definitely not like to collect some random bush walker who thought this track looked like a nice hiking trail...
But for road riding with more monotonous revs (like holding it at 115km/h) for long stretches (heck, even a half hour home from the dealer on Day One for me) the baffle is missed and I wanted it back in due to the steady note being just loud and not blippy and fun like it is when you're gearing around or doing the urban lane splitting idiot thing... Thus I got home & said, Right let's head back over there for that pipe. :-)