That I couldn't say as I don't play Great War, or know enough about it to take an educated guess. Offhand I don't see why they shouldn't, except perhaps with regard to the quite large platoons involved... but then again SCW units are of similar size.
Certainly I'm exploring using them for the Rif War and I know there is an adaptation laid out in the TFL 2014 Christmas Special for using them in the Great War, so some people certainly think so at least.
I believe H.M. and Scrivs are in the process of getting figures and stuff together for that in any case, so hopefully they'll give you their opinion...