Him being frustrated in ROTS had no noticeable effect on him in combat until he turned to the dark side and was conflicted about his decision.
Oh he made a few mistakes in battle. Must be reckless then right?
What about in Cat and Mouse when he outsmarted Tactical Genius Admiral Trench saving the planet below while Kenobi was ordering him not to intervene because it was a hopeless cause?
Who figured how to put down the Zillo Beast? Was it Jedi Master champion of the order Mace Windu? Wait no, that was Skywalker as well. Go figure.
Who figured out how to infiltrate the citadel with the unorthodox yet genius idea of carbon freeze? Yes Anakin again.
He was the Clone Wars greatest hero which he proved again and again. I can provide more examples if you like.
As for your lowball example who destroyed the Malevolence in the end? Oh that's right it was Anakin.
Who heroically saved Plo Koon against the Council's orders and exposed the Malevolence and her Ion Weapon in the first place? Oh yes Anakin.
The examples are numerous. No other Jedi came close to him during TCW.