I've been running zone for many seasons with a fair amount of success (D3 Elite Eight runs/D1 Sweet Sixteen).
Athleticism still matters for zone defense. You can't have low ATH across the board and succeed. Zone is predicated on averaging out the ratings of your defenders (the exact algorithm hasn't been cracked, but averaging out the ratings is a good substitute). So as a group, your players need to have good ATH, DEF, SPD, same as man or press. If you recruit low ATH players across the board, your defense will suffer.
The benefit of zone is that the other team can't isolate on a poor defender and abuse him (like they would if you played man). And if you find a player who is a poor defender, you can cover for it by recruiting a player who is a superb defender. When I recruit for zone, at least one player on the team is designed to be a defensive specialist -- a player whose ATH and DEF will help bring up the averages to compensate for weaker defenders. On my Bowling Green team right now, Anderson was recruited to play that role. He is a frosh with 72 ATH and 68 DEF, both green, which means he should end up at 95+ on both of them. Having Anderson on the floor as a senior will mean that I can pair him with a weak defender/explosive scorer and not have my defense take a major hit.