The real reason for Intel's 14nm shortage is obvious. Apple.
They probably made the deal with Apple to be their exclusive modem supplier a few years earlier, when they assumed they'd have 10nm in volume and 14nm fab space didn't matter. They were wrong, and producing a huge run of modem chips for iPhones was responsible for the shortages last year, which then eased a bit after they had enough to supply Apple through Q4 which is their busiest quarter.
Right now they are building a bunch for the next gen iPhone, but will once again be able to ease off thus Intel's prediction that the shortage will ease in Q3.