Liposuction? Will It Work?

I would not worry about the type of machine the surgeon is using because ultimately liposuction results are dependent on the surgeon. Companies like Smartlipo did a lot of straight to consumer marketing but it is the surgeon that should decide on the technique used. All surgeon have different price points and lipo is easy and fast and really shouldn't cost a lot of money. The real question is will the surgeon stand by his results and offer free touch ups if more is needed which is common. Also, how will they handle complications which happen as well. I have no idea what that surgeon is talking about in terms of "ELITE" credentials? I would only go with a board certified plastic surgeon, of course. Also, there don't need to be any "incisions" but just 2mm punctures and you should ask for "as many as possible for the results you need" because they are small and will heal.

Without an in person exam, I cannot tell you if liposuction is the best choice here. But I can say that you made the better choice among the two alternative surgeons. 

I neither was a plastic surgeon, but rather a practitioner for whom liposuction is the only tool in the toolbox, I would urge you to get an opinion from a plastic surgeon who could offer whatever treatment was felt to be the best for you. Regards.