Tom,
Your supposed link to the 'postulates' of SR was no such thing. If you thought you'd learned Einstein's postulates from that 1990's Colorado personal and quite distorted view, wholly ignoring the postulates themselves, then you will have been grossly mislead.
I really can't understand how you seem so prepared to completely ignore Einstein's own words and meaning and embrace some far lesser mortals own interpretation. And even to post them here and call them the 'postultes! It seems your first task should be to re-aquaint yourself with his ACTUAL postulates, preferrably in german and with the two slightly varying main literal translations, and keep those preserved, sacrosanct and separate from all else that followed.
Then read ALL his long and comprehensive 1952 paper (preferably with the hundreds of other papers, speeches etc. I suggest only then will you get a true insight to the process of development of his thoughts, wherein lies the key. (It's certainly not in the maths!).
I agree, the predictions are entirely implicit within, so all emerge directly from, the postulates, which is precisely what I wrote in less words.
So, we have the predictions of the postulates all well proven. But, as I pointed out, NONE OF THE REST IS!! The rest is just a description offering some kind of logical explanation, never ceasing to be arguable, never allowing any correspondence with any possible interpretation of QM, and never able to explain a host of anomalies such as superluminal quasar jet pulses up to 46c.
So is an amended description which also DOES achieve ALL those and removes all possible paradox, not worth studying to see if it can be falsified?
And, if you think not, please offer my some understanding of why you think not, apart from conflict with a 'belief system'.
Peter