Do ideologically differentiated presidents govern and communicate differently? This paper examines mandate representation as a rhetorical phenomenon across 25 Latin American presidents in nine countries between 2000 and 2025. Using a corpus of 31,442 everyday presidential speeches, we embed policy-topic segments with a multilingual transformer model and measure dyadic rhetorical similarity between all president-term pairs. A theoretically anchored benchmark projection, validated against expert ideology placements from PELA, identifies the policy domains where left-right differences are most legible in presidential discourse. Within-country regressions show that more ideologically distant presidents produce consistently less similar rhetoric across all fifteen policy domains, with economy, crime, and government showing the strongest differentiation. The domain of clearest differentiation varies by country, reflecting national political histories rather than a universal logic of the left-right dimension. Fiscal crises compress ideological signals, but this pattern is concentrated in Argentina and Brazil. The findings qualify the pessimistic account of mandate failure in Latin America: rhetorical mandate representation is real and detectable in everyday governing discourse, though it is nationally embedded, domain-specific, and conditioned on the economic and institutional context in which each presidential alternation occurs.