The problem is that Ivy's manipulation is an instant effect power, while Zemo's manipulation was the culmination of months of intense planning years/decades of insider knowledge of top secret Soviet/Hydra info and relied on manipulating a celebrity with insanely poor impulse control, and even then the plan has so many moving parts that had to go in exactly the right directions at exactly the right times, that it basically required Batman vs. Superman Lex Luther level precognition in order for it not to have failed long before.
The other problem is that Ivy's manipulation requires her not to take a bullet to the head before she activates it, but that's not really Zemo's concern here.