B770 was rumoured to match the 16 GB of the A770 (and to be the top end offering for Battlemage) but it is said to not have even been taped out yet with rumour it may end up having been cancelled completely.
I.e. don't hold your breath for anything consumer from Intel this generation better for AI than tha A770 you could have bought 2 years ago. Even if something slightly better is coming at all there is no hint it will be soon.
Hm, i wouldn't consider 200$ low end.
The Intel cards are getting more interesting for me as I'm questioning my continued use of macOS. Intels focus on Linux support makes their options really interesting, though I don't see a need for something as powerful as these new cards.
The Radeon 780M on Ryzen APUs can power 1080P gaming, and output to 3-4 4K/8K displays (the latest Intel Xe iGPUs are about on par, but generally pricier). A Ryzen 5700G goes for about $150 (or a 5600G for closer to $100), or you can get entire Ryzen 7840HS minipcs w/ 32GB RAM for $400-500).