Ahh okay, I have a better understanding of what you're asking now. I think a “higher risk of fraud” is an element of all of them,
not one by itself. Because the ultimate goal is for the auditor to discover Fraud or material misstatement, which is why they control Detection risk through increasing or decreasing their audit procedures.
But at the same time, if a company has no or limited internal controls, then Control Risk will be higher which leads to a greater chance of fraud (is 1 employee entering, approving, and mailing vendor payments? if so, he could be stealing for himself ie fraud).
The different risk elements of the Risk model formula are there to measure fraud / misstatements. Fraud doesn't just impact one element of risk factor.
Does this help? I'm not an auditor by profession, but have gone through numerous audits and believe I understand it pretty well. Maybe an experienced auditor can chime in.
AUD: 83
FAR: 77
REG: 86
BEC: 86