Great question, as I had to jump through similar hoops.
The rep, if I remember correctly, expressed concern during the process and again a week later when I contacted him to submit the request for the 90 day techconnect agreement, (I was told by RA that the rep had to submit THAT form and the Rep said Allen Bradley MAY notice that my address wasn't listed as a BUSINESS address and that MAY be a problem.)
I used my full name in the Business Name field, and have used it since for the techconnect, (90 days) agreement. (He originally listed Kirby Risk and a cash sale, but I had them change that so I could get the 90 days techconnect.)
The rep expressed concerns about the issue you mentioned. I spent 10 years self employed a few years before and must say, I "mentioned", that I aspired to perhaps do so again, and maybe that eased his mind during the purchase? Not really sure, but I did have to hop hurdles throughout the process and when on the phone with AB techconnect while it lasted. "Your Company?" They asked... "Jeff ..." I always told them and ran into no issues.
Regards