The IRS computers are capable of reading the first two 40 character lines in the account title when they are looking for the correct name. The "rule" that the owner's name comes first in the account title is intended to maximize the chances of a match. It is mission critical in banks that only report the first line of the account title - the correct name has to be there, but it's simply a good idea in other banks.
I don't understand what a "side company" is and hope the attorney did not use that term. If it's a DBA, the entity's real name should still appear first in the account title. (On a related issue, any DBA needs to be registered with the state before you open an account using that name.)
_________________________
In this world you must be oh so smart or oh so pleasant. Well, for years I was smart. I recommend pleasant.