Can losing weight decrease redness?

I've got mild/severe background redness and also have very bad flushing, can losing weight improve that? When your hot your body dilates blood vessels to release heat and cool you down which will make you look redder( especially in places that have a lot of blood vessels close to the surface of your skin i.e cheeks) fat acts as insulation which makes it harder for you body to lose heat so blood vessels dilate more causing you to look even redder. So in theory losing weight would decrease facial redness. Has anyone ha any experience with this? Can losing weight help with backing redness and or flushing???? And also anybody on here who has lost weight did you find just being fitter and healthier in general have any impact on redness or flushing????
Thanks

Can losing weight decrease redness?