FF 1-9 are Active Turn Based. FFX is Conditional Turn Based (and I loved it because you could drop the controller and go stir the chicken without missing a beat.) So was Tactics. X-2 went back to Active Turn Based.
FFXI isn't really either of them, and neither was XIV 1.0 - you were free to perform any individual action if the timer was up on it or if other conditions were met (e.g. you had enough MP to cast the spell), instead of waiting for a single universal timer across all of them that indicated "your turn."