Charities have such a weak definition in the U.K, for example Nuffield Health is a "Charity" but you'd be incredibly hard pressed to point out something charitable, it's basically a £1B private medical club that doesn't pay tax.

I don't think there should be barriers to entry for small charities, but we should be able to assess how much actually makes it to the "cause" at a glance.

Can government ministers make demands on how a council, of a different political affiliation in this case, is ran?

I'm sure there can be very bad ways of doing a four day work week but it's certainly something I'd want in future.