I read it once in a diet book...
What they say is that when you drink something hot/warm with or after food it helps to digest it the fat.
If you drink something cold the liquid make the fat hard -try put a cold water in some fat- and make the digestion take more time to occur, while if you drink something warm it helps keeping the fat melted.
According to this book ( I don’t remember which one - sorry) that is why asian people drink hot tea with meals.
Now, if you ask me if it is true, that I don’t know...