No more than they have today, the GTX770 was dueling with the 380X, the GTX780 was dueling with the R290s and the GTX780ti was king. Today the GTX1070 is dueling with the V56, the GTX1080 is dueling with the V64 and the GTX1080ti is king.
Like I said we won't know if the price is going up/down/static compared to the 1080 until the 1180/2080 launches, history shows anything is possible.
At what point other than against the reference, the GTX780Ti was beating the 290X? Atleast post January 2014 drivers, that wasn't issue.
And today the GTX780Ti is battling with the GTX1050Ti while the 290X/390X even beats the 1060 6GB.