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Thanks for sharing. You are correct. As an example, when you account for the 0xAA preamble in front of the sync words you will find that a sync word equal to 0x04 04 can be found just as easily as a 0x02 02 sync word when transmitting a 0x02 02 sync word.
Please note that if you use 15/16 sync word there is a significant probability that you will find a valid sync word even in noise. Suggestion is to use 16/16 sync word, or even better 30/32. This results in less time processing false packets (maybe the "real packet" is being transmitted while processing the false packet..?)