Using the tables whatshisbucket generated, I've put together a list of algs for l4c. I currently have it up at https://superphluous.github.io/curvycopterl4c.html.
I didn't account for symmetry in the program (only went through once manually looking for duplicates) so there might still be a few...
I think you misunderstood xyzzy - he's proposing a different way to write the notation. UF2 in SALOW notation would be UF// (or is it UF\\? further proving his point that the slashes are extremely confusing). I think using numbers is much clearer and much easier to read than slashes.
I feel like it's a more intimidating to have to learn the piece that each letter refers to than just having more letters in a move.
The order of the letters wouldn't matter, because RU and UR refer to the same piece, and therefore the same turn.
UR6+ R2+2+ (first number is dial with pin up, second is dial with pin down) L1+ ur0+6+ ALL2- // first cross + most of the back
U3+ D1+ // second cross
dr2- dl3- ur4- ul6+ ALL1+ // corners
Next: UR0+ DR4+ DL3- UL0+ U4+ R3- D4- L3- ALL4- y2 U5- R3- D2- L4- ALL1- UR DR DL