There's no business reason on desktop or server for Intel for sure but there's so much inertia here which AMD needs to counter, it'll take years.
Intel is down on the floor until 2021-2022 when their 7nm (which is a smaller node than TSMC's 7nm) begins to ship because a) there's no reason to believe 10nm actually will ship in quantity b) there's every reason to believe even if it does, it's not going to be great, the first iteration of a process is never so and 14nm is so fine tuned by now, it is better in watt/performance which makes Ice Lake look stupid. 7nm is said to be a totally different, independent development and not a fine tune of the (dead) 10nm.
Intel has 12B cash at hand though so don't expect them to just go out with a whimper. If their profits go down a little for 2-3 years, they will live. The stock price didn't crash, with good reason. AMD had a net loss for seven consecutive quarters before turning a profit in Q2 2016. Intel won't even turn unprofitable for a similar period of time, just it'll have a littles less profit. And, again, they have a decent sized war chest to draw on if necessary.
The chip business is a slow business. In 2012, Intel said they will ship 10m chips in 2015. https://www.crn.com/news/components-peripherals/240007274/in... This is about the same time when AMD re-hired Jim Keller. AMD saw their window in 2015 when Intel 10nm didn't ship, thrown away K12 in a hurry and brought Zen to market in 2016 -- surely they didn't expect they will have a five year run when Intel can't put up a competition.
The fun will start in 2021 when TSMC is expected to have a refined 5nm (they call it 5nm Plus) process which you bet AMD will use vs Intel 7nm.