This is a misunderstanding. Of course logic cannot compensate the latency in a live monitoring chain, this is not possible until the time machine will be invented. When this was the issue of the thread owner, yes Low Latency mode can help.
(DAWs have different strategies to deal with it. Some bypass instruments/live audio automatically to the output which is much more clever, Logic uses a Low Latency Mode.)
What I'm talking about is, when you record audio, and there is a lot of latency in the output chain, and Aux etc., and your hear this latency induced audio signal, and playing a instrument to it or singing a sweet melody to it, and you hear the direct audio from the instrument right into your ear and play along to the music. In this moment logic is in fully knowledge about the playback latency, an could simply subtract that latency when it put the recorded audio on the project. But it doesn't. Sorry for interrupting this thread.