i use classic keys; I have 'L' assigned to locate selection and I find it very useful along with the gallery locate button

I note 'Locate selection' does nothing when in Layers mode; it ought to be a toggle action.
not sure what you mean by this - it seems to work ok for me...

4. In passing, the P&LG Properties button ought to consolidate the attributes/properties of the selection rather than just open Web Properties. Now that would be something.
+1