[A Little Short]

Unfortunately the installation instructions available on the ge website are terrible, they don’t say if it’s a plug or bare wires. Since it doesn’t call for a particular receptacle type i’m leaning toward hardwire. I’m going to have to cobble together something that i can use to support the oven when i pull it out of the cabinet.

I've installed lots of slide-in ovens and cooktops. None of them were cord & plug, they all hardwire in. The junction box could be in the same cavity behind the oven, or in an adjacent cabinet.
I highly doubt there is any rubbing, and it wouldn't come and go as the oven is not being moved. Sounds lie something in their control panel. That or failed temp sensors.
Are both ovens doing the same thing?

If you need to slide it out, you could ask them to give you the measurement from the floor to the bottom of the cavity that holds the oven. Then you could make a little stool to match the height. I have used sawhorses with a board on top for the oven to sit on. First, I would check the adjacent cabinet to see if the junction box is there. If it is, you may not have to pull the oven out.