I don’t even understand the stereotype. “Globalists” is a right wing dogwhistle for “jews”. I’ve never heard leftists use the term derogatorily. If we wanna talk shit about western hegemony or NATO, we use those terms directly.
There actually used to be a coherent leftist stance against "globalization" in the 90s. Like lots of protest movements, but that was much more focused on opposing things like corporate personhood, NAFTA, international debt schemes, stuff like that. I remember being in leftist chatrooms in like 2003 and they were talking about "globalism" but they meant the IMF. Leftists now seem to prefer to talk about that stuff in a broader context of imperialism.
Anyone now though using the term in a derogatory way is a deranged conspiracy theorist talking about Jews or they want a fascist world of nationality based on race.
The Battle of Seattle. Do you all really have memories that short? Seattle burned over NAFTA. Jello Biafra had an album called "No to WTO" or something like that.