I've got Clothcraft Lv.99 already, so leveling Woodworking is not an option.
And it seemed to me as though it didn't put me at the actual fatigue cap, but rather there was just a cap on Liks. After I noticed that I wasn't catching them anymore, I started to just reel in all of the Dark Bass and I caught 20 of them before I went to bed. After 11 Liks caught, 9 Liks lost, and 20 Dark Bass, the recast time for /fish had still not increased, so I don't think I was close to fatigue.
It seems more likely to me, although I've only been trying to catch these for one day now, that Liks just have their own cap on how many you can get in a day. But I don't think you are fatigued once you reach that cap. I'll try to test this more, it shouldn't be too difficult.