Bruce Grant in his "leather Braiding" book presents an interesting method of storing cord that he calls a "Tamale".
I used a 4" wide board here and 10 1/2' of 325 paracord.
Attach Standing End to fixed point.
There are 6 steps in the process.
1. Wrap cord around board.


2. Bring side Up and Over to new position.


3. Bring edge A clockwise 180 degrees.


4. Wrap cord around board.


5. Turn side A counter-clockwise 180 drgrees.


6. Bring side A Up and Over to original position.

Repeat steps 1 - 6















Continue until a few inches remain. Wrap working end around the loops and tuck tag end through the wrap making a half hitch.







The bundle can be stored as is or hung by a carabiner placed through right hand loops. To deploy pull on standing end.

Bruce Grant actually shows the "tamale"made by wrapping around left hand. This is fine for thinner material but because width of palm is limited it is not suitable for thicker material.
Wrap


Twist palm up


Wrap


Twist palm down


Repeat

Looks a bit time consuming. I just cross cordage on my hands between my pinky and thumb (so the cordage stacks) and the do a few looks around the stack and pull the remaining loop through the thumb/pinky hole. Keeps everything untangled and is quick.

It just looks time consuming when you break down all the steps. Making the "Tamale" around the palm is a very fast method, as fast as the pinky/thunb method you mention.
When you use a wide board you can store a lot of cord. Cheers, Tony

Am I right that basically you just go around the fixed end alternating the sides?

Tony, you have inspired me to make a quick video on how I do my methode. Although I took climbing prussiks and slings as the subjects instead of paracord: https://youtu.be/ZtrZxFm-hgY

Not shown, but if you know how to do it. It's really quick to do. That 's why it's my prefered methode, while hanging on the side of a mountain.

That is correct. However you must use the flipping and turning (board) or twisting (hand) method shown, Otherwise the cord coming from the twisted end will develop a very bad kink. Tony

There seems to be more than one way to achieve the same (or similar) result. Here's an infographic about tarp knots that includes a different (maybe??) version of the tamale by simply wrapping the cord around the pinky and thumb in a figure eight pattern

tarp knots infographic

For larger cordage, there's this

For really lengthy cordage, there's this (probably not what you think):

https://youtu.be/WfvioMwTVUo