Perfect. The "monocoque case structure" alone would worth the premium in your case. The 5712 will never be the same for you.
The main different for me is that the bases of all the date numerals on the 3712 are facing inwards, it looks strange when you look at the dates on the 5712 - "5", "7" and then "9" or is it "6"?
Enjoy your watch.
Best,
Goh