There is a substantial cohort of 'libs' who started calling themselves 'leftists' post-George Floyd, but when probed about their opinions on e.g. means testing, prison abolition, or asked to define even something as basic as Marxism, miss the mark so widely on the fundaments of those ideas that it appears they've labeled themselves without actually contending with certain core concepts that literally define the distinctions between left folks and others.

Of course, the boogeymen borne of tribalistic (politico-cultural) battlegrounds mean that those on the broad right look leftward and see people calling themselves 'leftists' dragging the classical left tenets toward strange, centrist-ized, often authoritarian lines and assume without further evidence that this applies to the left generally.

I promise you there's still plenty of folks who competently understand the labels they choose to inhabit.

Both “anarchism” and “anti-globalism” (the former largely as a result of fairly recent cooption, the latter inherently in being a label of opposition not specifically tied to the ideological reason for opposition) have both far-left and far-right versions, and that remains the case. Neither is universal on the left or the right, either, because while anarchism in the narrower historical sense is connected to socialism, there are obviously socialisms that are not anarchist (even without going to the extreme of Lenin/Stalin/Mao vanguardist approaches).

I disagree that, within the left and far-left, the anarchist or anti-globalist segments have recently retreated. OTOH, in the United States, the old (peaking around 1990) overlapping center-right neoliberal globalist faction forming the moderate wings of both major parties has faded in the Republican Party, leading the remaining segment of it – which is the dominant faction of the Democratic Party – to be called “left” (and sometimes “far left”) by Republican partisans.

I dunno about that. Radical anti capitalist sentiment, for instance, feels far left and anarchist: https://en.m.wikipedia.org/wiki/Contemporary_anarchism