There is a 400 Sym on the road, and the "looks" are very much in the Burgy mold.
Sym MaxSYM 400i
Down to the 15" F and 14" R wheels, pillion backrest, in-glovebox DC power outlet, and divided taillamps.
Sym MaxSYM 600i
SYM Maxsym 600i
I did read somewhere that Sym had some tie-in with Honda so there is the possibility that, like Honda, they are prepared to use a common platform for both 400cc and 600cc engine sizes.