Not really---similar for sure, but not as bad for black. Consider that computer chess tournaments do not start with the pieces in their initial positions. The first 5-15 moves are predetermined by human master players to achieve positions that are imbalanced while not having a side with a clearer advantage. Otherwise it would be even more of a draw fest.

This makes things a bit worse for black, typically, because playing for the win as black means making some positional concession (that white can exploit after successfully defending) in exchange for the initiative and a chance for an attack.

In human play, black has a little more ability than white to steer the game towards their opening preparation[1]. If they want to win, they will try to get have a position that they know in and out from (computer-assisted) home preparation. But there are still a lot of draws in classical (many hours per game) chess.

[1] Chess openings that white chooses are typically called "attack" (King's Indian Attack) or "game" (Scotch Game), while those that black chooses are called "defense" (Sicilian defense). You'll find that there are a lot more "defenses" that black can choose from than "attacks".