I've seen this trend / issue crop up as well and while I get the reasoning behind it the truth of the matter is that the groundwork has already been laid for the term "Virtual Assistant" - industry veterans and newcomers alike have worked HARD to establish the term, evangelize the industry, and educate clients and the general public.

With that in mind, and online search being what it is, the majority of clients are searching for terms and phrases that include 'virtual assistant'.

Terms like 'online business manager' and similar may sound great but you've got your work cut out for you carving that one into the minds of people who are only just now starting to grasp the VA concept in a way that serves the industry.

I'd say, instead - take back the term - give it higher meaning, etc.
People who are shopping for a VA based on price will ALWAYS land overseas and they will get what they pay for. People who are searching for a VA based on talent, skill and ability will land on your site and those are the clients you are marketing to anyway. I doubt your ideal client profile fits with client X who only wants to spend $5 an hour and doesn't even realize the 'VA' he's working with can't speak or spell correct English.

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