I think this is, actually, completely out of the question.
Max deals are going to become far more rare. In fact, the reason they've been so much more common lately is because the entire league knew those deals were about to be bargains. The entire league isn't suddenly going to lose it's mind and stop understanding how the salary cap works or what percentages are. They'll still understand the value of a defense first (only?) center, and the market for centers will still be impacted by what guys like Tristan Thompson, Enes Kanter, Robin Lopez, etc. are getting paid.
The higher cap means that players will make more in terms of real, actual money. I do not think it's going to have any impact on how teams perceive their value in terms of percentage of the cap.