Don't think this action is THAT much of a battery concern, I suggest 3G data connection is the main issue, which in the case, shouldn't be much off difference to the other options at all.
The other issue was screen, yes it is larger, higher resolution, but as a user from N1>LG2X>SGS2>Note, I do not see big difference too, all device mentioned would last me from 12~14 hours with my usage, the 2 hours diff seems related to the different daily usage instead of CPU/Screen etc.
Just a reference:
I had these sync on ALL time:
On Wifi only:
Normal usage, web browsing mainly, G+/Twitter/GTalk/whatsapp a bit, not much phone calls (45~60 mins), most of the time Wifi (at work/at home), Note would last me 13~14hours.