It's is amusing that you question whether parking citations correlate with crime rates. The reason they give out tickets for this is that these people have parked unlawfully.
No.
“In the United States, tax evasion constitutes a crime” [1].
Two, the IRS is a civil agency. It can only bring civil actions, even against alleged crimes. The DOJ, on the other hand, takes criminal referrals. (We tend to see civil siblings to criminal counterparts across our body of law.)
Going back to OP’s question, when people refer to a high-crime neighbourhood, they aren’t talking about parking violations.
If you think you can convince your fellow citizens to criminalise parking tickets, go for it. I doubt it has that much support. (But I don’t doubt that confidently!)
IDK what plane this policy spectrum exists on but man is horseshoe theory clearly alive and well on it.
This kind of difference in desire from area to area should be reflected in municipal codes and have clear signage. But sometimes these neighborhood norms are only reflected in de facto enforcement, not in de jure written legal code.
This has a parallel in the form of HOA's. Most of the justifications I hear for HOA's are that they prevent "$THING_1", "$THING_2", and "$THING_3" ... but all of those are already prohibited by municipal code and can be addressed by making a call to 311. However, citizens of many cities often don't have faith in police / code enforcement to respond with a proper ticket. Sometimes I wonder if all those HOA fees were going to the city if that would pay for diligent non-HOA enforcement.
So there could easily be secondary correlations between areas filled with people who are willing to fight invalid citations and that might correlate with wealth / crime rates.