What are you going to do if some say yes, some no - both with good reasons? For example, it's technically true that the tire is OK as long as it isn't bulging or showing broken cords, also true that such a thing can happen to a tire in that condition going over a single bad pothole.

What you need to think about is the balance you are striking. They obviously are not going to last a long time, and could fail suddenly. So what you are trading is a few weeks/months of time before paying for new ones vs. worrying about and possibly suffering the consequences of failure - an accident, long walk home, late for work, etc. For some the risk may seem worth it due to finances, for others the cost of new tires a bit sooner is worth it.