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That's fine for precision, but few of us know the "thickness" or density of our felts (or have the equipment to measure it accurately) and having at least one of the "standards" being a hat commonly known and owned across most of us hat-o-philes would give us a common point of reference. In addition to a technical standard, I'm also thinking of a "practical" standard most of us can relate to.
But that's how you do it. If you are going to perform testing of this type you need good measuring equipment, test gear, and a decent sampling of materials. Otherwise, the results are useless.
Also note I don't care about individual hats or models. I'm convinced the most useful data will come by determining a heat transfer rate for felt that is dependent on thickness and perhaps color. Once you gave that, you have the answer to the question of which will be cooler. Individual data points for your particular hat would be interesting, but largely anecdotal.