You’re not wrong exactly, but propaganda rsn’t about lies it’s about emphasis.

It would be like saying “people think Mexicans immigrants are violent criminals because they often come from poverty” instead of "people think Mexican iMmigrants are violent criminals because if there is one murder committed by a Mexican immigrant in a day of a thouand murders, Fox News will spend all day talking about that immigrant.” Sure, poverty might drive someone to crime, but the perception isn’t caused by the crime, it’s caused by warping reality to exclude context of all the other crimes–ie, propaganda.

Medicare is socialism. Social Security is socialism. Tri-care is socialism. Yet, when Americans hear “socialism” they think “Soviet totalatarianism”, not those things they rely on. That is the result of propaganda.