Mentioning lbhe zbgure does affect the math behind the scenes, yes. Not wickedness exactly but it makes him more suspicious of your supposed enthusiasm for his plan if you've been qrnyvat jvgu gur Abinaf oruvaq uvf onpx.
Aha! That makes sense and is even cooler than I was expecting (aka znlor ur whfg guvaxf vg'f naablvat vs uvf abg-xvq-shgher-jvsr xrrcf lnccvat nobhg ure zbz?)
