I doubt the costs will be significant. It doesn't have lots of offices or fleets of vehicles to rebadge. A few boxes of stationery might go to waste, or they could simply replace them when they run out. If they can avoid paying excessive fees to graphic designers for a new logo then most of the admin could probably be done in-house.

It is apparent from the comments in ED&S that the questions about "Englishness" which appear to be driving this come from "people who regularly work with EFDSS". ED&S has published some of the responses to the questions on "Englishness" and these appear to disagree with some of the more loaded questions, in particular 52.9% entirely disagreed that "'English' feels a little possessive, as though someone has the power/authority to decide what or who is English".

I'm afraid this suggests to me that this is far more to do with EFDSS trying to be accepted into the mainstream arts world than it is to do with promoting folk music, and adds to my fears that it is increasingly distancing itself from the grass roots.