A new diver should not even get near those boundaries. By the time he does, checking air and DC should be normal parctice.
I think, what can easily happen to a new diver is not related to diving beyond boundaries: absorbed in some task like deploying a SMB, especially in a dry suit, he could miss the fact that he is ascending too fast. An audible alarm can be salutary, indeed. IMHO it is better to have an option to turn off alarms in your computer if you wished rather than not to have an option to turn them on.