F7E1 – BASKET SPEED FAULT
Yes, 9 times out of 10 the problem is the shift actuator for error code F7E1. Usually because the optic sensor of the shift actuator goes bad.
In the bulletin I posted below, on Page 2--->CONTROL NOT SENSING THE BASKET MOVEMENT
A test procedure is available to check the Optical Sensor directly from the control panel.
1. Perform the steps to Activate Service Diagnostics. (Refer to product tech sheet.)
2. To access Tachometer Verification Mode, turn the Cycle Selector Knob until the Wash & Done LEDs are lit.
3. Press the START button to begin tachometer verification mode. Tachometer verification uses the status LEDs to represent the tachometer frequency (basket RPM). For example, slowly turn the basket by hand; as the basket turns, the DONE, SPIN, RINSE, and WASH status LEDs will illuminate one at a time in a visually repeating cycle. The LED timing is derived from the optical sensor itself.
--->If the LED’s are flashing as the basket is being turned, the optical sensor is working.
--->If the LED’s are not flashing as the basket is being turned, perform the following checks below.
4. Press and hold the START button for 3 seconds at any time to exit tachometer verification mode.
Here's the shift actuator for your model:
W10913953 Actuator
Here's that bulletin of what can cause it: