LLC as "additionally insured"; what's the risk?

[Ali Siddiquee]

I'm closing on my first LLC soon and while shopping for insurance, every agency I spoke to is willing to issue a policy in my name (single member LLC) with the LLC as additional insured. I see a lot of advice on these forums insisting on the LLC being the primary named insured. What is the risk of having the LLC as additional insured vs primary/named insured?