Is chin lipo the recommended procedure for the pocket of fat I have? (Photos)

Im a 31 year old woman, 65kgs very physically fit and healthy. I’m noticing the fat pocket under my chin all the time, I feel it makes my side profile look older and saggy, it doesn’t match how I look physically everywhere else. My mother and grandmother have significant double chins, loose necks and jowels. I’m aware this is a fairly minor case? So wondering if chin lipo would be worth the effort for the result. I have not tried fat freezing, but considering what I can see from the other women in my family, it’s likely to get much worse. Please advise!