I think it would depend on how it's handled, the age of the child etc etc, there are so many factors.
I can only speak from personal experience.
As a client, I may not want to be around other children OR hear other children when I'm trying to relax (even as a mom, I sometimes try to escape my own LMFAO) So when I go to get my own hair done; I'm sometimes aggravated if someone has brought their child to the salon and he/she is running about or creating havoc or noise.
BUT as Nail Stylist, I can say that I successfully built my business in my home WITH children in attendance.
In the beginning, I worked nights and weekends only, when hubby was available to care for my two children so that I could work "uninterupted" (you can guarantee there were still occasional interuptions...) but it was from 6pm on, and by 7pm they were in bed without fail. At that time, my youngest was still in diapers and my eldest a toddler.
Clients never complained or seemed to mind. "seemed" is the key word, I can't know for certain. But on a whole, it wasn't an issue and they understood. But that's not to say that there weren't any potentials that chose not to come BECAUSE of the children. I can't say as I don't really know.
It's been made clear to my children & hubby: when I'm working, I'm NOT here. They are NOT allowed to interupt me!!! or be in the room!!
YES it sometimes happens that they pass through as I am situated right off the front door so if anyone is going in or out, they pass through. OR if on their way to bed, they stop for a kiss good-night. But it ends there.
Most clients will invite the children over for a chat. Some bring them presents.
IT CAN BE DONE..... BUT you have to make sure that your hubby is right on board and takes care of the wee one by himself. It took some 'training' to get my hubby to get it straight. HAHAHAHAHA Now, if they even look like they're heading my direction, I hear him "where are YOU going???" and they stop dead in their tracks LOL
Honestly though, I can't wait for the day that A) I open a shop B) that I have a bigger house to build an extension onto to have my business completely separate from my family/home life.