Rauq
Goblin Guru
The shifter cables do just pop out of the bracket. You're right, I think in their video series for disassembly they were working with an auto trans donor, so that's why you don't see that there.
The only reason I can remember to treat the cables gingerly is that they have decent resale. I sold mine for $60 in just a couple days. I think the new kits come with all new hardware for shifter cables other than the base of that bracket and perhaps the shifter side cable ends. I know DF sells new cable ends but I'm not sure they're included in the new kits as standard. I also know the stock ones aren't reused if you get the upgraded DF shifter (which I recommend).
The only reason I can remember to treat the cables gingerly is that they have decent resale. I sold mine for $60 in just a couple days. I think the new kits come with all new hardware for shifter cables other than the base of that bracket and perhaps the shifter side cable ends. I know DF sells new cable ends but I'm not sure they're included in the new kits as standard. I also know the stock ones aren't reused if you get the upgraded DF shifter (which I recommend).