For this reason I don't think the core argument is really sound, because in almost all corporate environments windows is the daily driver and the regular maintenance doesn't come in massive temporally divided chunks of work that make up the large cited overhead in this instance but instead trickles in on a mostly daily basis.
If windows is going to die it's probably just because Microsoft continues to abuse it and try to turn it into a spyware and marketing platform rather than a workhorse and the equilibrium between a hands off linux install and windows slowly tips to favour linux.