Wolves' impact on the spread of chronic wasting disease (CWD) in deer has also been studied(2). “CWD prevalence could be halved within a decade and eliminated within the century if a pack of wolves consistently and selectively removed 15% of deer in a closed population” (Waldner, 2016)
I don't know if wolves' impact on tick populations has been explicitly studied, but you can find research on habitat diversity reducing ticks(3); and it follows that the lack of predators contributes to deer population explosion, which in turn provides an unbounded vector for the tick epidemic.
1. https://www.sciencedirect.com/science/article/pii/S235198942...
2. https://wildlifecoexistence.org/blog/wolves-and-chronic-wast...