WOW, your question is very erudite. (I Googled erudite to be sure of the definition, not 100% sure if I am using it correctly in the sentence?) What is your schooling or background?
If I am understanding your question, hospital rooms are numerically ordered, 301, 302, 303, etc., it is not rocket science? Once you have worked a unit or floor a few days or weeks you quickly get a mental map of the rooms in your head.
Not sure exactly what you mean about precautions. Infection control precautions? A million years ago when I worked acute care there was simply a laminated brightly colored sign outside the patients room stating contact isolation, droplet isolation, airborne isolation, etc. and it listed what steps to take when entering and leaving the room. Probably today that is a HIPAA violation!
You are correct about high stress causing anxiety and mistakes. That needs to be discussed more often in nursing school
and at the workplace.