My perspective has always to maintain the definition of a Hackspace as broad as possible and see no need to redefine it in the first paragraph.
My concern on Hackspace Magazine was that they would try to define or even restrict the hackspace definition.
I have also previously voiced my concern here that UK Hackspace Foundation too appear to want to over define a Hackspace and in consequence risk damaging the experimental nature of these places and frustrating the energies of people creating different new spaces.
The problem I have with the rest of the text is that the context is not clear. The UK Hackspace Foundation appears to have a number of different purposes and they do not make for a simple member definition. A Foundation is normally considered a source of funding, and as there is funding cash in the bank, then the definition of a suitable Hackspace for funding would depend on the commitments made when the funding was received. This definition may be quite restrictive.
The UK Hackspace Website gives another perspective offering promotion and coordination. I would suggest the best promotion is to have as broad as possible content to satisfy the massive diversity of demand rather than the above funding definition. Clear presentation of the organisations and values of the Hackspaces would go a long way to make it a valuable resource. Some Hackspaces listed may be restrictive on membership especially where they support specific communities or support different activities (longer term projects), but we should not diminish there value or opportunity.
For coordination it remains to be seen what that means. Hackspaces are still very much people and personality driven, I hope any proposals are supportive of this rather than restrictive to an ideal held by a few. I think it is premature for UK Hackspace Foundation to claim they represent Hackspaces in the UK until this is done.
I think for now it is best to concentrate on clearly defining the role, value, and deliverables of the UK Hackspace Foundation rather than define a Hackspace.