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The problem with TakaMori, besides obviously having shitty chemistry, is the same problems that Noel and Flare had: they "married" their characters to each other. It created a limiter/shackle on the both of the characters, making it harder for the character to be able to have other "tete" moments with others since they would be compelled to bring up their marriages. You see this in how Noel, Flare and Kiara often have to turn down others because of it, Mori doesn't which also makes it more awkward for their ship. To a lesser extent, it also looks bad for others that try to flirt towards them, giving them the image of a "homewrecker". This ultimately is why both of those ships had to come out and put their relationship "on break".
Just compare and contrast it to all the other popular ships like OkaKoro, AquShio and KanaCoco who haven't had to say in public that they have distanced themselves to the other. Even when they are considered like the de facto ships, not much outcry when they flirt outside of it.