In 0.22 Hyborem and Basium both spawn without player actions, although from the player side, by the time I research either, it's not worth the effort, as there isn't much room for them to expand, and generally they get "cultured" out of the game almost immediately.
I know Hyborem is supposed to be spawned without player action but in my last 6 games in .021 or in .022 where the human player did not bring Hyborem into the world the computer never did. All games played on Huge world on Normal speed. As Amurites Ashen Veil founded 247 Last Turn played was 421, As Grigori AVf-236 LTp- 460, As Doviello AVf- 255 LTp- 440, As Khazad AVf- 256 LTp 420, As Luchuirp AVf- 287 LTp- 500, As Bannor AVf- 257 LTp- 490. From when the Veiul was founded to when I quit the game there was plenty of both time and space for Hyborem to come into the world. The computer player never switches over to the Veil religion or brings him into the world.
As to the culture problem for Hyborem, how about either letting him start with a Great bard or letting the manes unit he gets have a +10 great culture modifier like a prophet.