Your name should not be on their wallet cards, unless you are the employer. It sounds like you are the trainer. The employer is the entity that issues the permits. You just train for that employer. Stay out of the "loop". If your management or supervisors won't enforce what you teach to your operators, then they are people who could be cited. As a trainer, you have to get the management on your side. If they don't work with you on enforcement, Have them read OSHA 1910.178 and ASME B56.1