As you found out ... You just can't put much cotton in a very narrow coil.
For my
kayfun, I use either Silica or cotton yarn for the wick. Since I
pull a double piece of this
through the coil, I make the coil on a 7/64" (2.8mm) drill bit.
Also, I find 28 AWG Kanthal easy to work with .... I think 30 or 32 gauge is just too thin.
One other thing ... silica wick can be dry burned, whereas cotton cannot, and I don't like replacing cotton wicks every couple of days.
Obviously the wick shown above needs to be cut shorter now that it has been pulled
through the coil.