While you can never be 100% sure that a BP won't escape a quality rack be it professionally made or home made, it is pretty rare. You are far more likely to forget to push a tub in than have a BP escape on their own. Some BP's can push tubs open so you should look into securing the tubs with something like this:
Note the white pegs in front of the tubs that prevent them from sliding out.
Keep the gap between the tub and the top of the shelf under 1/4" 1/8" would be even better.