Pre-cuts can also be strung on a thread with a needle through the middle of each. A double or single knot at the bottom will hold them on the thread.
To remove, just pull the bottom one off the stack. This is for spit-patching while on a trail walk.
A stack on this thread can also be dunked into the melted lube, then squeezed to get the excess out, then stored in a tin.
MMikes system with the slotted leather strip is rather a good idea too, for bunny hunts, or trail walks alike.
I believe you are overly complicating this, Renger94 - think about it a bit, then simply do something & see what works for you. This is all we did
and these "things" are what we do. All different - but similar.
I use Altoids tins, as well as Sucrets tins for lubed or dry pre-cuts and -
these also work very well as lubed or dry pre-cut patch containers.
With water based lubed patches, they will rust a bit over time and need wiping out with 000 steel wool
to remove the rust. Some mink oil or other, will help the cleaned surface.
https://www.trackofthewolf.com/List/Item.aspx/23/2I use # 1790-B for my .36 cal patches, # Snuff box B for .50's, .62's and .69's, # Tinder Box B for all 4 calibres.