I don't think it's possible to provide a blanket answer given:
- Not all have been arrested for the same offense, and
- Nonwhite can include blacks, but can also include minorities such as Texas Mexican-Americans, who may have different backgrounds and reasons.
However, since you are looking for a examples and mentioned black voters in your question, let me provide one:
Hervis Rogers became popular after news agencies covered him waiting 6 hours to vote in the Democratic primary elections in 2020. A year later in 2021 he was arrested on voter fraud charges. It turns out that Rogers was still serving the end of a parole which began in 2004 and scheduled to end in June 2020 (3 months after voting in the primaries). Rogers claims he was unaware he was still on parole and believed he was voting legally. If convicted though, Rogers could serve up to 40 years in prison, a life sentence given that Rogers is 65 years old.
Unfortunately, I can point to a study or poll that links this story to the number of individuals interviewed or polled that know of this story and may have been dissuaded from voting after hearing of this incident. However, I think it is reasonable to assume that any impact would negatively change black voter turnout given that the story was about a black man, and black men represent a higher population of the prison population, and thus are more likely to be unsure of their voting status if they have been on parole.
Links to the story: