You do get credit for trying. Here's another thread
where only John had the courage to respond.
The problem is that there are two "persons," the individual and the LLC. Both have the same SSN. Nevertheless, it's the LLC that is the person on whose behalf the transaction is being conducted, not the individual. So, it's the LLC that goes in Section A. (Listing the individual in a second Section A is nonsense and will not cure the problem that follows.)
If the SSN belongs to Morton Brown and it's "Morton Brown LLC" or "Brown LLC" the matching system will find "BROW" and match it to the SSN. However, if the first four letters of the owner's surname do not appear in sequence the name of the LLC, it will be kicked back to you as a mismatch you cannot repair.
FinCEN is aware of the issue.
P.S. Please note that I'm avoiding the opportunity to suggest they issue some guidance unless there is an armored car involved. PSS, I agree with the plan (5 filings & 2 months) too. The LLC is a new customer.