No, this can't be true, since HN has repeatedly told me that the body preferentially stores sugar as fat (presumably via de novo lipogenesis, which studies like [1] show to be only a minor contributor to fat balance, but that's probably just more Big Sugar propaganda, right?), that dietary fat doesn't become body fat, and even that you can eat all the fat you want without getting fat because ketones are magic.
1) https://ajcn.nutrition.org/article/S0002-9165(23)06404-3/ful...