This is not just a suggestion buried in fine print. The law gives the commissioner authority to issue fines for violations: $1,000 for a first offense, $2,500 for a second offense within twelve months, and $5,000 for a third or later offense within twelve months. The statute also says a violation can become grounds for license action against an insurance producer. (Louisiana State Legislature)
If your insurance company recommends a shop, that is one thing.
If they make it sound like you have no choice, that is something else.