I believe eruptions, especially with a lot of sulfur going into the stratosphere, have a net cooling effect. Of these, ones located in the tropics like Agung would generally cool both the N and the S hemisphere. However, I suppose global cooling can still result in some areas that are warmed for periods of time (possibly months or longer) depending on how it changes the pattern? It sounds like Webber is saying that in this case it would strengthen La Niña. A stronger La Niña, itself, would tend to favor a warmer SE this winter vs a weaker La Niña. But it would also favor a colder upper Midwest, n Plains, NW US, and W Canada this winter. Also, if the volcano were to cause a stronger +AO, that would mean a colder Arctic this winter. The net effect on the N Hem should be colder with this setup. Also, keep in mind that a stronger La Niña, itself, is often correlated with a cooler globe.
https://en.m.wikipedia.org/wiki/La_Niña#/media/File:La_Nina_regional_impacts.gif