I personally see no reason NOT to potty train, but I strongly disagree with training to poop on command. Some birds learn "too well" and will not poop except on command even in their cage or other places where its ok for them to go freely. As stated, that can lead to health problems from holding it.
Kiwi is potty trained to alert us when he actually needs to go, so we can put him on his perch/cage/play tree. I want him to go when he needs to not when we want him to, so I find my method of training a fair balance

We actually never intended to potty train him, he's just a smart bird. We actually always watch him like a hawk when he's away from "his areas" for a variety of reasons (safety being the main priority). When he would get that antsy little dance right before he dropped his butt, we'd grab him and put him on his perch. Then one day, he came up and lifted his foot like he wanted to step up, I assumed he wanted to go home, so I put him on his cage and he pooped. It was like a lightbulb went off, he had gotten tired of being, er, 'interrupted' so he started alerting us by getting our attention and raising his foot to step up. I was a proud parrot owner that day

He hasn't had any accidents since. It really boils down to keeping a close eye and "listening" to what your bird wants to communicate
Not sure how offensive a conure poop is, but I'm surely not interested in amazon poops on the floors and furniture:54: