If this was actually true, you would know that the tissue in and around an open wound gets really soft from diving day after day and therefore can't heal but gets worse. If it's a couple of days, it's one thing but not for a month.I have dove with wounds in all stages of healing, from the tips of my toes to the middle of my chest.
Getting a random antibiotic to put on the wound is even worse than 'putting a sock on'.