I can't say because I do not know.

Some things I do know about whole milk. It has a pretty good amount of lactose which is a sugar. I loved whole milk (would hardly drink 2%, yuck!) but it would make my blood sugar spike pretty badly and I usually consumed it with shredded wheat or Wheaties so that even made it worse. Skim milk or 2% is even worse as it does not have the fat to slow the digestion of the milk sugar down.

So since it contains a sugar it will cause a rise in insulin. When insulin is raised the body assumes there is adequate energy available and will not tap into body fat burning mode. So from that respect I would say it is a negative towards trying to lose fat body weight.

How much it will effect it I can not know. But if a person is trying to utilize some of his stored groceries (body fat) and reduce the surplus body fat (stored groceries) then a person needs to have low insulin levels. Low insulin levels turns on the utilization of stored body fat to use it as energy.

So while I can't give specifics on how much it will help because a lot of variables are at play but keeping insulin low will help to utilize body fat to reduce it. Anything that raises insulin will not be beneficial in that respect. Sugars (including milk sugar lactose) raise insulin as well as simple carbohydrates also do when the body processes them and turns them into glucose (blood sugar).

Products from dairy fat are less problematic. Heavy cream, cheese, etc. While they are high in calories and when eaten in excess can still be a problem for weight loss, they have a much less effect on the hormone insulin so are better in that respect. My wife and I eat a considerable amount of heavy cream, cream cheese, cottage cheese, cheese, etc. but no regular or low fat milk whatsoever. So we eat the dairy fats but avoid the dairy sugar (lactose). This keeps the hormone insulin from raising and telling the body to store excess energy as fat.