The FAO's latest number for livestock emissions is 14.5% when considering the full life-cycle. It doesn't matter that we don't have a full life-cycle analysis for transportation - that doesn't change the number for livestock. The author tries to dismiss the 14.5% because "[transportation might be a bigger culprit]" and talks about "unringing" the bell on the FAO report simply because of a correction from 18% to 14.5%, which seems a bit of an overstatement.
On top of this, new (2017) data seems to suggest that our predictions of livestock emissions were too low:
> Using the new emissions factors, we estimate global livestock emissions of 119.1 ± 18.2 Tg methane in 2011; this quantity is 11% greater than that obtained using the IPCC 2006 emissions factors, encompassing an 8.4% increase in enteric fermentation methane, a 36.7% increase in manure management methane, and notable variability among regions and sources.