XS strap necessary?

Hello, I am going to be purchasing the Pilot's Chronograph soon (3777-14). My wrist size is anywhere between 6.25 - 6.4". I can't remember which hole I used when trying it on at the store, but I believe it was either the last hole or 2nd to last, and I recall still having some wiggle room. Basically, I could still fit another finger or two between my wrist and strap. I do recall when trying on the Big Pilot, I was using the 2nd to last hole for a comfortable fit.
Would I benefit at all by going with an XS strap for the 3777? I just wouldn't want the strap to end up so short that I'm using the very first or 2nd hole. Thanks for any feedback!

So I decided to go with the black alligator strap on a deployant clasp. The question still remains as to whether I should get the XS strap or not.
When comparing the same style strap (on a deployant clasp)...one in standard length and one in XS, does anyone know the hole position difference to achieve the same fit? Basically, if one is using the last hole on a standard length, which hole would be used for the same fit in XS?

I was told that these are the measurements when comparing the two size straps (both for use on a folding buckle)...
Standard 145/55mm (7.87")
Short 135/55mm (7.48")

I'm not sure now that translates to the hole positions.

Thanks in advance!

If you have a small wrist and have a deployant clasp, try the XS strap especially for deployants. They have special proportions.