I have always been under the impression that the locks all used the same key no matter which model gun. My 638 key will work in my 625.
That's what I thought also.
But I don't have that many IL guns. The three or four I have all have the same key.
Never paid much attention as I've never used the IL.
I did put one of those keys on my key ring in case one of my guns locks up at the range. Haven't used it yet.