As a former franchise owner, I would say just the opposite. The reason is because there is a weekly/monthly franchise royalty paid in addition to the franchise fee. The weekly/monthly franchise fee is, for all the home inspection companies I looked at, based on gross income. Thus if you just plan to do one inspection per day, the franchise royalty will be much less.
Although I have been in marketing all my life, I was unsure of my expertise in marketing to people who don’t pay me, i.e., Realtors and their referrals, which is why I went the franchise route. Once I understood how easy it is to market to a target audience that needs our services, I chose not to renew the franchise and went it alone. So if one has the intent of becoming a multi-inspector firm, definitely go it alone but only if you have marketing expertise/experience or plan to hire someone to do your marketing program for you. After all, the benefit you get from a franchise is exactly the same regardless of whether you have one employee (you) or multiple employees, so why pay royalties for those other employees.