Here's what I had about the comparison in another unrelated thread:
I'll chime in here as well because I have a Monster 796 that's currently parked about 2 feet away from my Scrambler. I agree that the motor in the Scrambler has a completely different character and feels like a different engine when compared to the Monster.
The first and most obvious difference is off the line power/gearing - the Monster has 15T front sprocket and 39T rear sprocket from the factory. On the stock Monster, the gearing is so tall that letting out the clutch in first gear and not giving it any gas has you going about 8-10mph at idle. When you're working in traffic you're constantly slipping the clutch and keeping your right hand very busy with the throttle to keep it smooth. Also in tight canyon work, I've actually found myself downshifting all the way to first gear on the Monster which is something I honestly can't recall doing on the 50+ other street bikes I've ridden. However, on the freeway in 6th gear at 70mph it's turning at a comfortable ~4k rpms and is surprisingly great on the highway with a tank bag to rest on. The power delivery is quite different as well. It's not as peaky as a superbike, but you feel a little power off idle, a lot in the midrange and a good bit up top then it signs off quickly about 1k before redline.
On the Scrambler, the factory gearing right off the bat is WAY lower at 15T front sprocket and 46T in the back!! That is a massive difference and is readily obvious. You can quite honestly let the clutch out and idle around at ~3mph without feeling like the bike is going to stall. When you get on the throttle at idle it lurches forward with seemingly all of its power available down low, then there's a good midrange, and seemingly nothing much above that (though I haven't redlined it or ridden it too hard yet since I'm not done breaking it in). Probably the biggest difference though is on the freeway - the Scrambler is up around 5.5k rpm at 70 mph where the Monster is at least 1k lower rpms at the same speed.
Probably the easiest way I can boil the difference down to is that on the Monster I'm always wishing for a gear below first that's lower, and I have a feeling I'll wish the Scrambler had a taller gear above 6

They're both excellent and tons of fun, but they are noticeably different. I dread heavy stop and go traffic on the Monster, but it's a non-issue on the Scrambler. As soon as I get some real canyon carving in on the Scrambler, I'll be able to see which I think is better for those duties, but I have a feeling that in the end I'll come away with saying the Scrambler is more of a do it all bike while the Monster is a good bit sportier.