Thank you for pointing out what you did, as it was more my intention for what I was saying. I kind of get a little jumbled when I fail to edit my writing
As for "over training" I started a thread a while ago that debated the idea. I've yet to
personally see a person over train to where muscle loss occured, and workouts became catabolic. There are many times I've trained one body part for 2-3 hours a day, for 3-4 times a week. I never noticed any atrophy in my muscle tissue. I know my body adapts faster than most people being a young man, but still. Everyone's body adapts. How do you expect guys in military boot camp to do PT 6 times a week, for most of the day, and not become weaker? The only reason they get smaller is because of decreased food portions (mainly during events such as The Crucible, The BEAST, etc.). At least, that's my take on it. I could go on with examples.
I know it's getting off topic, but I don't believe in over training causing muscular atrophy, only severe mood abnormalities, the need for excessive sleep, and things of that nature. Here's what I say: take the advice you believe to be true and use it. Everyone's bodies react differently to everything.
If your body responds negatively to heavy training on this diet, then don't train heavy on the diet. If it were me, I'd stay heavy, as that's what I've heard pro trainers advise for cutting diets.