I think its going be alot more then $350. More in the $400-$500 range but we have to wait and see.
I don't think so.
Intel have been dominating the low end, with their i3 lineup going for 75-90$, and beating/meeting the 100$/120$+ ryzen 3's.
seeing this domination in a market will make intel want to do the same in other places.
If they don't have the multicore perf, they can't control the high end, but if they lower prices, maybe they could hit AMD hard in their mid end, which used to be their strong point, but with ryzen 5000, and the price increases, is not really the case anymore.
Intel cannot have an 8 core for more than 450, but with how AMD abandoned the 350-400$ range (no 5700X, only 5800X) we can expect them to put their 8 core ace in the hole right in there, and bang the drum of being a bit better, but much cheaper.
The i9 cannot compete with the 5900X so at worse, it will be 500$, but I believe it will be around 430$, just undercutting AMD, with the i7 coming in at 350-375$.