Autonomous flight yaw adjustment

Does the yaw direction, that is, the direction the drone looks at while flying, affect the performance in autonomous flight?
If I set it to stay in its original take off direction throughout the flight, will it affect the circling and speed performance?

No, an a normal multi copter with symmetrical motor ordering.

Yes, on strange non-symmetrical designs

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I was using quad x frame so there is no problem. Thank you so much