Yes indeed, although bracelets were only aftermarket for Heuers in the 1960s they do suit them well. I'm not sure whether I would call yours micro-Milanese or Hundreds-and-Thousands, but I like it.
I got my first Carrera new in 1970 and it was on a plain leather strap, no holes. Although I was actively rallying at that time I never heard of a "Rally/Rallye" strap until well into the present century. This is not the original strap which had got rather smelly after five years of everyday wear and was replaced with a bracelet.
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If you still have the old clasp from the strap hold on to it! Genuine 1960 Heuer clasps will set you back 1000 in common currencies, although repros are available at about 10% of that.
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