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The difference in their weight you mean? Or the difference in the height of tides to get an accurate mean?
The tide means are actually from measures data yes (and water heights are closely monitored around the world).
As for the 0.2 lbs difference in weight, no that isnt really done when tides differ because while it would have an effect on the results that effect would be extremely marginal. In fact the number is not deduced experimentally but rather mathematically. It is the result of the buoyancy of the atmosphere and not due to the moon itself. Therefore it can be calculated based on the atmospheric pressure at sea level.
