It’s important to understand that the other reading in kanji is not “wrong.” It’s a totally acceptable reading, which is why WaniKani doesn’t penalize you for it. It’s just not the main reading they want you to associate with the kanji before you move on to vocab. The vocab that use the reading that’s taught with the kanji don’t have individual mnemonics because they rely on you to have learned the one from the kanji lesson. The ones using other readings have mnemonics of their own. So the reasoning has to do with preparing you for material you’re going to learn later— it’s not that one reading is “wrong.”
On vocab, on the other hand, there is a correct reading and usually that’s it. Again, there’s a problem with your terminology here. It’s not that you offered “the wrong reading” of the vocab. The vocab usually only has one reading, not one correct one and other incorrect ones. Don’t be tempted to mix up kanji and vocab and think that because kanji have multiple readings, vocab also have multiple readings, some “wrong” and some “right.” That’s not how it works.