But what's been said about 32 is true. The New Deal is what won Blacks over to the Democrats, not the Depression itself
True. But that kind of goes without saying. If FDR hadn't offered a solution to the problems caused by the depression, there would have been no point in switching to the Dems.
If other people hadn't switched earlier, though, there wouldn't have been no FDR.
But of course, have a look over the election maps, 24-28-32-36-40. The alignment that would last until 48 (and sort of until 68 really) wasn't there yet in 32, and not really in 36 either.