Dadists had a political agenda or at least an ideological agenda outside of the art itself. The surrealist did not seem to have an agenda
Most of the French surrealists were solidly on the Left and made a lot of noise in the 1920s and 30s against the "union sacrée
" of Left and Right following the war. In 1931, following a French colonial exhibition, a number of surrealists (Breton, Éluard, Soupault, etc.) staged a phony mock exhibition protesting what they saw as gratuitous displays of French militarism. So the agenda was certainly there, though we could probably debate the extent to which the agenda was reflected in actual artworks. But Breton and his cohort certainly considered themselves to be politically engaged.
More than one art historian has also suggested that French surrealism was an attempt to create a distinctly French avant-garde scene in Paris, which before the war had been dominated by styles pioneered by foreigners (Picasso, Mondrian, Severini, etc.).