Bill Tindall, E.Tn.
There is a shop in Shelbyville, KY that imports English furniture by the shipping container full, mostly 19th century, invariably mahogany. Every drawer I have examined there from this period was quartered white oak. The occasional earlier pieces were not. Maybe it was riven, and quartered because of the way it was produced and nothing to do with properties. The modern reproductions they import from England used to be quartered and now they are not.

I would be curious to know if the MW will dry to the same level as an oven. As the water concentration in the wood becomes lower the absorption of radiation becomes smaller and I would suppose the wood would be cooler. Maybe I will test it. I expect the differences are too small for us to fret over, but they could be significant in a law suit involving MC of KD lumber.