For them all power has to be immediately abolished on day one of the revolution. Because the syndicalist organisation is the union, it organises all workers regardless of their politics. Historically many workers have joined, not because they were anarchists, but because the syndicalist union was the most militant and got the best results. Because of this tendencies always appeared that were reformist. This raises the question of the conflict between being a trade union or a revolutionary anarchist organisation.
Syndicalists are quite correct to emphasise the centrality of organising workers in the workplace.
Critics who reject syndicalism on the grounds that it cannot organise those outside the workplace are wrong. The weakness of syndicalism is rooted in its view of why workers are tied to capitalism, and its view of what is necessary to make the revolution. Indeed syndicalists seem to ignore other ideas more often than combating them. In Spain they were unable to give a lead to the entire class by fighting for complete workers' power. Instead they got sucked into support for the Popular Front government, which in turn led to their silence and complicity when the Republican state moved against the collectives and militias.