This discussion is hopeless since you seem to have a rather dogmatic view on measurements.
Regarding the impact of close-in phase noise maybe this will help (from the AD tutorial I have linked earlier):
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Regarding random jitter as it is random by nature averaged FFT cannot measure it properly. But in practice averaged FFT may show a representation of random jitter. But even then J-test signal has nothing to do with it.
You're right. There's no point in continuing, since what you're presenting supports exactly what I've been saying, yet somehow you're interpreting this as something else.
Look, I've built jitter generators for all kinds of jitter, close-in, f/noise, correlated, and specific frequency. I've listened to all of these at various levels and frequencies with various test signals and music hundreds of times, including doing blind tests. I've built measurement tools that measure jitter, including random, correlated, etc. As I said, it's your move: provide real evidence for any of your claims, otherwise there's nothing to talk about.