If you've only played 3 games then it's hard to know whether you're relying on it or not. You might have just been faster than those 3 opponents.
But if you feel like you couldn't checkmate someone in bullet almost no matter how bad they are, and you're asking when that goes away, I don't know.
When will I have to stop relying on the clock to win in bullet? I have recently;y started playing bullet, and in all 3 games I've played I've won because I was able to move slightly quicker than the opponent, whether they were good moves or not. When will I have to start checkmating my opponent in under a minute? I'm currently about a 700.