Maker spaces tend to focus on high-tech tools, like 3D printers, laser cutters, electronic cutters (cricut/silhouette), etc. Some also have woodshops but that's less common and typically requires more space.
In the UK there are maker spaces of all varieties. But you are right, woodworking spaces need room for the equipment. If you are a hand-tool only woodworker, then there isn't really a need to use someone else's (unsharpened) tools.