If you protect, hold, and lock some data in a cube in the production model and then sync and GTP will that protect, hold, and lock be in place in contributor web app?
No.
Some things you do in the analyst model will synchronise to contributor. In this case they do not. To protect cells in the contributor grid you need to use access tables.
Analyst is a modelling tool in itself. That is why only come things pass to contributor (when analyst is then used for model structure).
Stuart