Other than the orange tie, which are the bright colors? In any case, I've worn this jacket with all of those colors, and they do look good. I think this looks good, too.With an orange tie? I can't get with that.
A grossa gren is relatively matte and has lots of texture. Hard to see how it is inherently incompatible with tweeds, especially refined tweeds. It seems much more suited to that than it does to smooth worsteds.