>>41436189They have attack animations in both games. You know this.
They just don't always use them, especially for weaker, early game attacks. This is purposeful to give the game more of a sense of visual progress. Weaker attacks early in the game have minimal movement of camera or model, while late game attacks like Hyper Beam, Pyro Ball, Drum Beating, Snipe Shot, Surf, Earthquake, etc. all have more going on because they're more powerful and need to look more powerful.