Gerrymandering is most effective when you know exact voting patterns of each household so you can draw the lines to get the result you want. Differential privacy blurs those boundaries and provides more room for the partisan hacks to make a fatal mistake.
This is nowhere near household level but is it good enough for horseshoes or hand grenades? I did this almost 20 years ago. I could combine this with aerial and streetview, ALPRs, DMV data, smartphone telemetry...