You sure it is 360?

Area of the ountry needs to be factored in as in heating or cooling dominate as the glass works slightly differently.

Ask the window dealer for a full-size sample of each glass and hold them up to your own windows, outside in daylight. The tint is much easier to judge at that size than on a small chip. Since you dislike the green, I'd start with whichever one looks clearer against your trees and sky.

Different sun exposure ties in with whatever views you have and your climate. A wall of west facing glass in Arizona is different than the same glass on a north facade in Maine

Are you sure it's 360? I suspect that you may be thinking of LoE-340 because it has a bluish tint as you described it.

LoE-340 could be an advantage depending where you live and the layout of your windows, but not everyone likes the blue tint, and it's going to be a good bit darker than 366.