I used to only lift when I didnt have a fight coming up. I would basically keep lifting until a fight was 4 weeks away, and then I would stop deadlifts, squat, bench completly as they broke me down to much and I couldnt get decent sparring as Id be too slow, tired etc... CNS was sapped.
I would keep up olympic lifts until 2 weeks before the fight however. Even though they are more CNS intensive, I just found that they didnt smash my posterior chain to bits and make me slow for sparring.
But like i said before, i did a lot of this stuff for fun and also what works for me wont work for many other people. everyone is different.
lots of stuff i could be doing better in my fight training before and even now but, i just love to train and do whatever i enjoy and crave to do at the time.