I think going back and remembering the core rules of the game is important here. On ivestigator's turn, the target has zero actions to use. Also, specific trumps general. Pointed Question is a specific circumstance that let's a target lie if they want. Regardless of what anyone may think the definition of a lie is, this ability specifically let's a target do it during the investigator's round if it wants to. Whether target tells truth or not, no actions, reactions, or official free actions are being taken by the target. If you wanna call it a free action, fine, but the ability doesn't say "this triggers a free action the target can use to blah blah blah." Pointed question simply just let's the target respond, and that response takes place during the investigator's turn (1 round). The target isn't using three actions it doesn't have to lie on the investigator's turn and then using three actions to lie again on its turn.
The ability is not OP or broken at all. It's just a cool way to make someone offguard without relying on teammates and possibly get some info while doing it. Kudos to the remaster buff.