Kybella does work, but will usually require multiple treatments and there is a period of tenderness and induration (firmness) after each treatment. The results also depend on how well the skin retracts. Kybella was bought by Allergan and has been heavily marketed. I don't think the results live up to the hype.
Liposuction also works. It's very dependent on the skill of the surgeon and on the ability of your skin to retract. There is some down time but recovery is generally quite easy.
Precision Tx is a version of Laser liposuction so it wouldn't be accurate to describe it as "minimally" invasive. The benefit of Precision TX is that it will provide an element of skin tightening which does not occur with the other procedures. I have used all versions of liposuction, including Vaser, and have found without question that Precision Tx provides the optimal combination of fat reduction and skin tightening. Yes the marketing was at times misleading, and no there are no comparative, randomized, blinded trials, and there never will be because there is no incentive for the companies to perform them. There is a short downtime with minimal discomfort and a rapid recovery with this procedure so it would almost always be my recommendation.