The Welsh make up a very small % of Brits and are rarely incharge of making decisions as regards Welsh settlers there were very few of them as it is well known the Welsh are tied to their mothers apron strings, you wont find large Welsh ex pat communities in cities across the world as they like their home and families too much, the small amount that travelled went to work in the coal mines in Pennsylvania and before that some of them settled in the American colonies and fought the crown, lots of Welsh signatures on the decleration of independance, and lots of early Presidents had Welsh connections, some Welsh went to Patagonia to preserve the language and culture a few went to Australia the current Prime Minister of Australia is Welsh born and bred.
You wont find too many little Wales around the globe unlike little Italys or Irish settlements or China towns.