Using current Properties Manager, if you select all Points and then pick Properties Manager > Attributes > Modify and then pick Name, you cannot select all items on the list... only one attribute at a time. Whereas picking individual points you can show each attribute to be applied at a single point.
We have a customer who have 11 attributes that their client requires shown at each point (plus Text labels for Point ID, co-ords and elevation. Therefore global selection via Properties Manager and picking the Name Field to show the attached image will allow the customer to tick all the fields required and show the attribute list for all the points.
Currently you can only do this via Edit> Edit Points.
Make sure you add the Attributes column if its not set to display in the Multiple Point Edit dialog, by right clicking on the column header > Insert column> Attributes.