@badgerdms The use of a particular material and weight of such material has without doubt an influence, when used on the LP during a replay. There are plenty of experiences had where the user reports are, that the sonic perceived as being produced is a betterment .
This is not limited to weight applied from above, the Mat used to support the LP can have equal or even more of a influence on the perceived sonic being produced.
The use of a Platter Mat in some form is pretty much ubiquitous, a piece of Natural Material like Rice or Gasket Paper, Leather. A Dot Mat, or those with an increased substance such as Metals, Ceramics, Plastics or even Uber Modern Material. Stacked configurations of the above are also known of to myself.
The material type and material weight selected as a Platter Mat will not be seen as a typical material used by others. A search will show there is a substantial variety of materials in use.
The best is achieved from weight above the LP, when the LP is rested on a material that assists with the optimisation of the interface being produced across three material types.