I have found that insurance companies uniformly deny coverage for cosmetic procedures. It is difficult to make a case that extra is more than a cosmetic problem.
The simple answer to your question is that nope, not cover body lift after weight loss. Insurance carriers in general will cover medically necessary procedures. The commonest covered procedure and weight loss patient is where skin is rubbing together due to excess overhanging skin causing alterations and breakdown. In that very limited indication, coverage cen be offered for panicle tony only. Panniculectomy is wear an apron over eating skin is amputated and the resulting wounds sutured shut.