I’m guessing that with new and improved drilling methods and fracking, that it is cheaper to get the oil out of Texas and North Dakota for now.
BUT - I’m also guessing that with the re-opening of the Arctic, they will continue exploration of the area for when it becomes cost-effective to drill up there again.
Most of the really expensive infrastructure is already in place, i.e. the Trans Alaska Pipeline. Most, if not all, of the oil from ANWAR will go to Japan, China and other Pacific Rim countries which will benefit the residents of Alaska, reduce out balance of payments and reinforce our standing as a major exporter of crude oil. A win for everyone.