There is a version of rest that is really just stopping, and it does not work, and most of us have been doing it for years.
Stopping is the absence of the thing. You close the laptop, the meeting ends, the week finishes. Nothing replaces what you were doing, so the shape of it stays — you are still holding the same problem, just without the tools.
Resting is different in one specific way: something else takes up the space. Not a distraction, which is stopping with noise on top, but an activity with enough structure that the previous thing cannot follow you into it.
This is why people who claim that walking helps are usually right and usually unable to explain why. A walk has a route. It occupies the part of you that was trying to hold the problem.
The practical version of this is smaller than it sounds. It is not a retreat or a sabbatical. It is noticing, on a Thursday evening, that you have stopped rather than rested, and doing one thing with a shape to it.