I've been making gains using 3 reps for bench, zerchers squats and rows for a while now, but I need some more advice.

When training in the 3 rep range isn't most of the strength gains due to CNS adaptation rather than muscle growth? If so, should I eat abit less with 3 rep training? Could the calories be stored as extra fat if it's the CNS rather than the muscles being trained?

I ask this because I've put on some weight every few weeks for a while now, and I think it may be fat. Also, I've trained on an empty stomach plenty of times with low reps and made great progress.

So assuming my info is correct, should I reduce daily food consumption and mainly eat for maintenance and recovery?

Thanks all.