Correct - It will just stay in open loop, but good from a troubleshooting perspective since I’ve found if it stabilizes running right away the O2 is the issue. I was away from my garage so I wasn’t able to determine what was wrong with the O2, but open loop fixed it. Replace O2 and plugged it back in and it was great.
If it is 3 wire and you discover you do need to change it, I’d recommend upgrading it to a 4 wire - they respond quicker and are more accurate that a 3 wire with a dedicated sensor ground vs relying on sensor ground through exhaust.
I do think you’re on the right track with the temp circuit however, the O2 is just something you might want to experiment with since it’s quick.
Pin 13 looks like it needs to be common ground for multiple points, so if pin 13 on the harness doesn’t have continuity to ground then I would trace that wire all the way to ground - Or temp ground the wire to ground and ensure 13 has continuity to ground. I’d also ensure the other parts of the diagram are also having good ground continuity.
Rabin