I wonder how long the gilding would have lasted if these were used to do physical work like rubbing linen, grinding paint or applying ink? I think it would have rubbed off quite quickly from all the heavy handling, so they are probably just paperweights.
The concentric rings on the base of these items looks like they have been machined in some way on a lathe. Either that or they are mould marks from where the mould had been machined on a lathe, but I don’t think they are moulded. Flying Free’s example looks to have a small raised dimple in centre of the base which would be caused by the lathe tool not being set properly to the centre height of the lathe.
I don’t know too much about pottery but if you fire clay as thick as these, does it not have a tendency to explode as the moisture can’t escape from the middle? If these are pottery and the base isn’t glazed, they should be porous?