At best, if you're lucky they'll work.
Looks like the same as I have. But, mine has issues. Minor, but still annoying.
Firstly, I find they work slightly better when you plug them in after you actually start the GC game/s.
Haven't really played with it too much, but I know you will be looking at the plug fit & wonder if it's sitting correctly.
Using extensions is mostly a failure (with wired types). 1 ext plays up & little less than 2 ext.
Most likely better to invest in a expensive wireless brand. Good luck.
ps. WiiMote will get you to your GC games, but then the other controller is needed.