Congratulations on the beauty, and a rare one indeed..
Your bezel issue lies in the insert..bezels themselves are the same diameter/circumference, while the inserts are different..the 1163/1563 as it has an acrylic domed crystal has an insert which is angled up from the outside, the insert on a 11630/15630 is flat to meet the flat crystal..my guess is you have a flat insert rubbing up against the dome crystal..not a bad combo, but better than the opposite which leaves an unsightly gap..
Hope this helps,
Cheers,
David