“Would you mind doing this for me?”
“Sure, why not?”
If that exchange doesn’t work for Persuasion, it’s probably not a fair use of Persuasion. This is for asking people to do things that basically aren’t even inconvenienced beyond what an ordinary, reasonable person might do for a stranger on the spur of the moment. The difference is that the spell makes it so the target will do that innocuous thing.
Sure, you could trick someone into doing something that seems minor and harmless even though it’s not, as long as the character doesn’t realize it, but that requires a hefty setup for little benefit besides cartoon villainy. “Ha ha ha, you thought you just put your knapsack down on that chair, but actually it added just enough wait to trigger the mechanism released the blade to decapitate your nephew!”
You definitely can’t set it up with Falsehood, but for an unrelated reason: if you’re using Falsehood to convince someone that something is safe and innocuous, the intent’s really to get them to do that thing. So they do, in fact, do it, maybe with the spell as a Say Yes flavoring. Otherwise it’s two rolls to get someone to do one thing for you. That’s how I assess the matter, anyway.