In the stream metaphor, the consciousness still didn't jump backwards in actual time. Its stream of experience included an apparent jump in time, but that's just because its beliefs suddenly became out of sync with reality: it believed that 2 hours' worth of things had happened, but they hadn't.

I don't agree. That is, you describe actual reality accurately but if I am to consider consciousness a stream then I consider this consciousness to have jumped back in time. I assert that the stream of consciousness to have travelled in time to exactly the same extent that a teleported consciousness can be said to have travelled in space. Also quite close to the extent that a guy walking down a street, moving ordinarily in time and space can be stationary in time and space can be considered to have a stream-of-consciousness and all for similar reasons.

It's no surprise that if I edit your memories, then you might remember something that contradicts a stream model

They don't contradict a stream model. They're just weird. Stuff with Omega in it usually is. 'Stream-of-consciousness' is a map, not the territory. If I have the right scale on a map I can draw a thousand light year line in seconds. From there back in time is just math. I see no reason splitting a stream in two and one part jumping back in time contradicts the model.