Most people can restore most of their stores of muscle glycogen within a 24
hour period. If one continues to ingest carbs, then the liver glycogen will
start to be restored again also.  It takes about 2 or 3 days of low carb to
deplete the stores of muscle glycogen again, for the most part, if you
haven't also filled your liver glycogen.  One confounding factor is
fructose.  Ingested fructose goes toward filling liver glycogen directly.
This is a gross generalization, and a lot of it depends on  how much you eat
and how much you exercise and what your bodyfat percentage is and a host of
other things.  But it's close enough to provide a general formula.

Using diet most rather than all.  The liver keeps producing
glycogen to keep going all the way to none.  But the amount
left is far lower than a carb eater has in storage.  Using
exercise it's possible to bonk.  That's when the muscles
run out of glycogen.  But they start immediately building up
small stores again.  You don't normally want to drive yourself
to bonk as for loss that doesn't help.

Viewing liver and muscles as separate tanks that get
filled at different priorities and different rates.

This is true as long as you're taking in enough calories for
it to be true.  While low carbing calories matter less, while
low fatting calories matter more.  Calories matter in both
cases but "a calorie is a calorie is a calorie" does not
apply.  So go low enough in calories and high enough in
carbs and you end up on a low fat plan losing.

By the way, one way to estimate an Atkins CCLM or
maintenance quota is to gradually carb up until the water
retention swing shifts up.  That shows the muscle and/or
liver tank has filled.  It also turns carb cravings back on.
And it takes effort to deplete the stored glycogen as well.

On Atkins - See how much you lost in Induction.  Make
the exaggerated assumption that it's all glycogen and
water.  Carbs are 4 calories to the gram and glycogen
is stored using 3-4 times the mass of water as glycogen.
So call it a calorie per gram of lost water.  If your Induction
loss was 8 pounds, that's about 3600 calories or 900
grams of carb.  This will definitely be a high estimate -
Some of the loss will have been fat, some might have
been water retention bloat caused by an undetected
food intolerance (lose 20 during Induction and some is
definitely bloat).  So half it and call it somewhere near 400
grams of carb.

Based on the wild estimate above it will be in the range
of 1-2 days of reversing from low-carb/high-fat to
high-carb/low-fat.  Guess what, this is the length of time
folks who do cycles like CKD do it.  Funny how that works
out, folks doing the arithmatic and so on.

Here's why I think you don't want to do this often or maybe
even at all: If you had carb cravings when you started low
carbing, doing a recharge like that will turn them back on
full strength.  Then you'll spend a few days low carbing
struggling with cravings.  Each cycle like that errodes the
motivation.