Light aircraft there is even less reason to worry about it as they 99% have flaps on a single shaft with a single actuator be it electrical or mechanical.
Its only when the flaps are split away from each other that you need to be carefull.
Gear usually travels independently so you get one gear then the next and then the final one. Its very rare that they deploy symmetrically anyway.
The no flaps in the turn is an old wives tale to enforce an instructors personal preference. A lot of the time because they personally struggle while doing it maintaining the flight profile.