This will not advance the discussion any, but TGJB's point #3 reminded me of a Ted Williams story.

Williams had a scale to make certain that his bats were the correct weight. The other players thought this a bit excessive. They collected six bats, five of which were the exact same weight with the sixth one being a half-ounce lighter.

When they presented the six bats to him, Williams (without the benefit of the scale) was able to identify the bat that was a half-ounce lighter. Assuming that the other bats were roughly 33 ounces, this amounts to a difference of 1.5%, or, somewhat less than a 2 pound break at 120 pounds.

Frozen head or not, if it was enough of a difference to Ted, it makes a difference to me.