Condé Nast seems to have every intention of 'funding' this new company itself (that is, without raising outside investment), so it's really just removing the "Condé Nast" from the process but maintaining ownership.
Granted, they were rather autonomous (one reason why I know I stayed until the end of my contract) but with money in the bank, the new CEO can simply do things as easily as any of the other startups in the top 50. Before, that money would be going through some other big company approval process -- e.g., if reddit wants to hire away a fabulous programmer, it simply gets done.
If things go well, reddit continues to grow and increase its value, at which point, it could potentially be acquired, IPO [RDIT?], or just become a cash cow for Condé Nast.