Have the walnut-rimmed wheel (with holes): I find the rim just thick enough in use, and it matches the dash. However - if you go for the "billett" Morgan-wings horn push, watch out that you don't get one that's a loose fit, like I did.
Mine fell out with a resounding crash (it's heavy!) every time I passed over a stretch of Morgan-challenging road surface

. It's now fixed in with the addition of some vinyl tape as a gap filler - but is supposed to be being resolved with a replacement from Moto-Lita. On checking various bosses at Berrybrook, we found that the tolerance varies quite a bit from one to the next.
BTW: also have the Allon White trimmed column shroud - well worth it I'd say: it tidies up that horrible grey plastic job no end. Just wish they could leather-trim the stalks now