Well, to clarify, I did not "feel" the case back contacting anything solid when screwing it down, but merely judging from the look as the movement appears to be really close to the sapphire. When tightening the case back it feels just normal.
As to the thickness measurement of 13.0mm, here's the picture. I did not measure the original thickness and did not bother putting the original case back on to compare. The 14.5mm was based on searches online and may not be accurate. Some website listed it as 14.0mm. It'll be great if someone can measure it to confirm. Please note that the FOIS original case back is a bit thicker than a standard moon watch to accommodate the deep engraving.