There is a thread on this somewhere. I understand that the overall consensus was by presenting a resume to a prospective client, whether on your website or in any other way, it is like presenting yourself as an employee. I'm not sure if this might also have tax implications.
If you want to mention your background, a professional summary is more appropriate for us as business owners. It seems that one of the toughest things to overcome is clients seeing us as an employee even though we are independent contractors, and a resume would enforce that perception.
I think it's hard for us folk who are adapting from a typical employer/employee scenario to let go of our resumes, but then again it is also one of the perks of being a VA. Clients do not need to know our work history as they are not employing us, all they need to know is that we have the skills and knowledge to do the job we say we can. It would be like asking a plumber or electrician for their resume. Personally, I would choose one based on reputation, a professional website and the way they present themselves when I contact them.
I hope that helps