Let’s say I have a character that has a component which can calculate parameters that should be fetched in the Animation Blueprint.
What I would like to know is: if I calculate parameters in the event tick of the actor component, will these parameters be fetched in the ABP for the same frame or at the next one?
Actor will tick first, then component and then anim BP (in the same frame). You can make actor tick after its component with Add Tick Prerequisite Component node. Unless you use latent nodes or have custom tick rate it should all happen in the same frame.
No, it won’t. Primitive test shows that animation blueprints Update Animation event ticks first, and only then characters blueprint and its component tick: