You're paying them a monthly fee but provide you with an attorney and help you sort out the mess after a shooting. I can't see where the conflict of interest would be, anymore than hiring any attorney to represent you.
The potential conflict of interest comes up because the company is obviously going to want to close out this case as cheaply as possible. The could (in theory) press their attorney (who is being paid by them, not you) to settle in a way that may not be 100% in your best interest but is in theirs... like pleading to a lesser charge that still makes you a 'prohibited person'.
Not saying they would, but technically the company is their client, not you.