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I don't know many mechanical watches (especially Rolex) that ticks at 6 times per second. That requires the balance wheel to be beating at 12Hz.

Old Rolex tick 3 times per second on 6 beats/second balance wheel movements, and modern Rolex do 4 ticks per second on 8 beats per second movement.

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That's incorrect. The seconds hand moves 6 times in one second on my 7S26 movement (21,600 bph). On a modern Rolex, it would move 8 times in one second. You can check this with a high speed camera (such as the one in the iPhone 6). Nonetheless, there are vastly superior mechanical drives out there that are continuous (Seiko Spring Drive for example).

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