Nope fake news FDR on establishment of a federal min wage:
“Before his presidency began, Roosevelt was deeply concerned with what he saw as the diminishing purchasing power of the "forgotten man," low-income farm and factory workers who were economically devastated by the Great Depression. Among other labor policy proposals like the standard forty-hour workweek, Roosevelt sought to restore this purchasing power through increased wages, which he hoped would spur additional spending and economic growth to help cover the increased cost of labor. Ultimately, he hoped to mandate that all workers would be paid "living wages" as described in his 1933 speech on the National Industrial Recovery Act, "It seems to me to be equally plain that no business which depends for existence on paying less than living wages to its workers has any right to continue in this country. By 'business' I mean the whole of commerce as well as the whole of industry; by workers I mean all workers, the white-collar class as well as the men in overalls; and by living wages, I mean more than a bare subsistence level-I mean the wages of decent living."
A segment of his speech regarding 1933 N.I.R act.
“Today, you and I are pledged to take further steps to reduce the lag in the purchasing power of industrial workers and to strengthen and stabilize the markets for the farmers' products... Our nation so richly endowed with natural resources and with a capable and industrious population should be able to devise ways and means of insuring to all our able-bodied working men and women a fair day's pay for a fair day's work... All but the hopelessly reactionary will agree that to conserve our primary resources of manpower, government must have some control over maximum hours, minimum wages, the evil of child labor and the exploitation of unorganized labor.”
https://publicpolicy.pepperdine.edu/blog/posts/what-did-fdr-mean-by-a-living-wage.htm