Our best rumors have Genoa at 96 cores per socket. I don't really see AMD pushing up from 2P for at least a couple of generations. Even then, at 2P, assuming that the rumors that have it at 96 cores per socket max, that's 192 cores and 384 threads in a 2P x86-64 server. If Intel is pushing 44 core SPR in the market, they can't even meet that with a 4P board (44 cores X 4 sockets is 176 cores/362 threads)! That leaves Intel to having only one type of system with a core count advantage, 8P systems, and they make up a very small slice of the total server market.
However, what we don't know is how much core throughput will improve with SPR. Maybe Intel will make a big leap in performance from having a better 10nm node than Ice Lake. If they just achieve the improvement with SPR over Ice Lake-S that Tiger Lake had over Ice Lake U, then they'll see a significant clock speed uplift to start. So, it stands to reason that they should be able to maintain parity, at least to some degree, between SPR 4P and Genoa 2P.