Wow, this thread has some... interesting tangents to it.
My journey to "powering the house with my Tesla" was mostly forged independently, as I couldn't really find the info I was looking for with the angle I took it with. I had access to a gratuitously oversized 4kW / 12v pure sine inverter from work that wasn't being used, and I hunted around for a way to make it work. I discovered the PCS (DC-DC converter) lugs under the rear seat, and proceeded to hack the hell out of it, crashing (as software, not cars) the car several times in my tinkering. Biggest takeaway so far is that you really can't break the car -- it's extremely sensitive, and if it doesn't like anything that's happening, it plorps back into its shell of safety and turns off the affected system.
That is to say, the terminals under the seat are harmless - you can lay a wrench across them with the car running, and you'll barely get a tiny spark before it shuts off. Instant reaction, thanks to MOSFET soft-fuses/eFuses on both sides of the converter that immediately disconnect both ends (the main bus & the DC-DC itself) of the PCS and drop the voltage to zero - while the rest of the car remains running (but not driveable), powered by the 12v battery. Disconnect the negative terminal of the 12v battery, clonk as the car powers off, wait 30 seconds, reconnect, good as new again, try a different angle this time. (unlike most devices, waiting 30 seconds seems essential here - if you don't wait long enough, some systems may not fully reset and you'll have a minor heart attack thinking you broke something!)
It can supply slightly north of 2.5kW - I've peaked it at 2.9kW I think, but 2.5kW average. Monitored with Scan My Tesla.
Here's a more-or-less complete brain-dump of everything I've learned about sucking power out of the Model 3:
Controlling Tesla's Sleep Mode ~-or-~ Lucid Dreaming for Robotaxis : teslamotors (link to a specific comment reply there - not the thread itself)
If I can find a good enough chip to serve the purpose, I might just build a diode/precharge circuit that makes this more effortless... because right now, whenever an export system is installed and running in the car, stuff goes sideways if the car ever decides to go to sleep - and a 12v reset is needed to restore the car to normal. A diode and precharge circuit would be a simple board, but needs a thicccc MOSFET to allow around 200A to flow through without excess heat. Sad to say that my EE skills taper off around the ballpark of transistors... I'm more a digital guy.
But yeah, hopefully that helps add a new angle to these thoughts. No charge controller needs to be involved, but a buffer battery is almost necessary for some loads!
Now back to mining Zcash in my back seat...