Actually the recordings with an IPhone are clearly good enough to easily tell relative differences between setups but when levels are different that can misconstrued as the louder is better. A different Spectral content is interesting but realize that he had a different cartridge on each table so one might expect there to be some differences.
It is not what it is written in Peter text- I quote :
"I transferred that same SME 3012R tonearm, phono cable, and the vdH Colibri Elite cartridge that I used in that first video to the American Sound turntable, and made a new video this afternoon. Here is a direct comparison of the two turntables with the arm going through the same Lamm LP2.1 Deluxe phono input. The only variable, other that the two turntables, is the location and support for the two turntables. It is a pretty direct comparison. "