1) Is false. Using the word ONLY makes it so no matter what side of the debate you fall.
2) Is false. Could I get a CICO proponent in here to explain this one! There are a million ways this is wrong.
3) Is not supported by the evidence. Actually the evidence shows that resistance exercise and sufficient protein are the driving factors in retaining lean mass. There is some speculation via human trials that VLC is lean mass sparing, and there is some biochemical speculation (mainly by members of this board) that it is not. So a professor taking a strong stance and teaching just the one hypothetical situation is IMO not doing their job. Then she finishes up with "starvation mode", so you end up gaining fat in a deficit?