OK, usable data!
Knowing what I have learned (thanks all) I went ahead and fired it up and recorded everything with the door open. Great idea right? Well my phone overheated and didn't save any of it, and no it was not IN the oven! I am not sure how long it took, but when I checked at 17 minutes the pilot was flickering and popping. I did get a smaller clip of it that I can share if anyone wants to see it. I figured I would let it go, because I wanted to see if it would stay lit, it did. At about 25 minutes I figured I would close the door, I knew it would inevitably go out so I sat there and listened to it. Sure enough, within a minute I heard it stop popping and opened the door to watch the main burner stop shortly after. Thermocouple is obviously fine and the issue is the pilot. I did notice that there is actually an adjustment, I was looking in the wrong place. I am going to call Suburban tomorrow to see if there are any known issues before I go trying to adjust the pilot, but I am pretty sure either the pilot light is too small or there is an issue with the regulator.
If anyone has an good info, feel free to share. I will post back either way.