Avira > chazal say that sholom is bad for reshoim, it lets them sin more. I don’t see how you can call it an independently important calue.
you are getting carried away. If you play a shot game every time you mention “sholom” in your davening, you’ll be drunk by Mussaf. And we end with “talmidei chachomim merabim sholom b’olam”, which I see as one of the criteria for a T. Ch. – you are one if you increase sholom (NOT an only one).