Money certainly isn't the primary factor, but it is important. For a lot of dudes, the pay cut you take for your first couple years in the airlines is something to consider when you have a family to worry about. If the AF can make staying a financially better long-term option as well, then it makes that decision easier (or harder depending on how you are leaning).
The biggest variable is QoL, however. If the AF were to couple an increased bonus with civilian/enlisted queep-specialists (personnel/finance/scheduling/etc) assigned to flight rooms, no more BS 365s, no need to go in-res IDE, and the ability to easily make O-5 without flying less... I might stay put.
But yeah, none of that is happening.