The EB2 will outperform the LX2 on high by a lot, 16,000cd versus 9,000 for the LX2.
You'll find the head a bit bigger though, and the LX2's low mode rated at 15 lumens(but is really 30-40) is very useful as a general purpose mode.
I find the 5 lumen low on the EB2 and E1D a bit low for that kind of use.