It is not that they don't vote, but they vote in very low numbers. If you need the scientific basis, here is one example:
"In this paper, I propose that depression is a political phenomenon insofar as it has political sources and consequences. I then investigate one aspect of this argument—whether depression reduces participation. I hypothesize that individuals with depression lack the motivation and physical capacity to vote and engage in other forms of political participation due to somatic problems and feelings of hopelessness and apathy."
https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4764256/
Obviously, low income white people killing themselves with drugs and alcohol is too small a group to be the "base" for any political candidate.
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