I had never checked the SkyTeam website for this information, but you are right.

The SkyTeam website confirmed that because it is a national flight it means (only for business) and no priority security line (only for business). So I will not have the benefits that I am used to but because it is in a national flight, not because of not recognizing FB. I do get others, like priority boarding and check in in the business counter. Interesting mix.

Thank you