There was the suggestion about Diffractive Optics, even with that, do you think would be more likely to be 7 or or 8k? If so, why?
I don't think DO will make the lens cheaper, if that's what you're suggesting. It's really the size of the entrance pupil that matters. For example, the 200/2 and 400/4 II DO have the same size entrance pupil, the former launched in 2008 for 850,000 ¥ and the latter in 2014 for 900,000 ¥ (and the 400/4 DO MkI was 770,000 ¥ when it launched in 2001). So, those three lenses are all about the same price, accounting for appropriate increases with time.
To me, that suggests a 300-600/5.6L will be around the same price as the 100-300/2.8, whether the new lens has DO or not. It's longer so that would be likely to increase the price a bit, but it's a 2x zoom not 3x which would be likely to decrease the price a bit.
Honestly not really sure I get the purpose of this lens, unless Canon does something differentiate it from the 100-300/2.8 + 2x. Ok, the 300-600 could take TCs to be a 420-840mm f/8 or 600-1200mm f/11 and probably that's enough of a selling point if the optics of the bare lens are similar in quality to the 100-300/2.8. Or they could make the lens such that it could be priced in the$7-8K range but I don't see how without sacrificing optical and build quality.