No, it's not orthogonal. You don't get that benefit for an LLC. It's written on the W-9 form itself. Thus it's a reason why _not_ to have an LLC.
"If you are a sole proprietor and you have an EIN, you may enter either your SSN or EIN.
If you are a single-member LLC that is disregarded as an entity separate from its owner, enter the owner’s SSN (or EIN, if the owner has one). If the LLC is classified as a corporation or partnership, enter the entity’s EIN" [0]