@Chicago Staleys is dead on. This reduces the FA pool because teams that needed to make Salary cap cuts on EXISTING salaries might not now have to do so.
A reduction in the FA pool coupled with teams with now even more Cap space increases the bidding war. It's a good year to be a FA. It's not that teams all have more cap space that hurts the Bears, Lions, etc, it is the reduction in the FA's.
If anything, it may not change much for the sole reason that if every team is essentially getting an extra $12M over the previous projection, then FA's are going to adjust their demands accordingly. It may allow some teams to hold on to more of the "Glue Guy" type player (Mercedes Lewis for example), but lets take the Chiefs situation, maybe they now do hold onto Chris Jones, but it's going to cost them Snead, their star DB, and Willie Gay, their best or 2nd best LB (Depending on who you talk to). So it may not have that great of an impact as we think...
What the NFL is going to have to do at some point is maybe leverage some of what NBA does in terms of Max Contracts. NFL Teams need to field 53-man rosters and when the QB is now taking up 20-25% of a single season cap, a star WR taking up 10% of the cap, how are you going to be able to field a team when 4-5 players could take up 70% or more of a single season cap.
Maybe something like a Max contract cannot be more than 5 years in length and no more than 15% of the Salary Cap (based on the season the deal is signed). Or, similar to the NBA, perhaps a rule regarding how many max contracts a team can have.