I agree, you'd have to be somewhat detached about it. But seemingly these guys are the opposite... They're practically getting a kick out of it, "Oh yeah, look at those dead b*****ds."
Most importantly, their job should surely dictate they need to be considered and cautious! They are flying deadly machines over a highly populated area, so need to be extremely careful when using force.
I would suggest the video we see, and the dialog we hear, does not demonstrate the professionalism I'd like to see from armed forces I endorse. To be honest I find the dialog, and the mindset it seems to show, terrifying.
I'd like to believe if a UK Apache group was in a similar circumstance, the outcome might be a little different. But most importantly the conduct, approach and consideration a lot different.