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Why are you having a day off?
Actually, there's some evidence that NOT refueling immediately after training can have better adaptations for some factors.
It's a similar idea to fasted training. Anything you can do to make it harder for your body might make it stronger in some ways. You have to balance this kind of thing with what you have planned next - no point getting slightly better adaptations from one session if it ruins your next one.
Isn't this "recovery" stuff only very marginal in effect? As in, I get it if you are on a training camp or a multi-stage race where you need to nail it again 12 hours later. But if you are having a day off the next day then I can't believe it makes much difference- willing to be broscience'd wrong.
Different if you are trying to specifically build muscle in a gym.