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But the whole world doesn't use PWM with MOSFETs driven directly from MCU outputs...

During 3 months after adding the serial resistors I caught garbled display only once (without the resistors display was garbled every few minutes).

If I was designing a new controller board, I...

I don't really think that the screen get garbled due to timings or ESD.
I never supposed that anybody could connect something directly to an MCU pin with a half-meter wire, but they did it... And...