[mothered]

no SES performed before on the account.

Perfect.

My problem is the switch did not turn on from arrival, and when my kid would go to charge it there would be a burning smell coming from it and the back of it would overheat. We then decided to dispose of it because of this.  Is this a reasonable cause to move forward with?

Good approach - that's the disposed of the faulty Item method.

Be sure to say It was disposed of for health and safety concerns. And yes, a Nintendo Switch can catch on fire.