Your argument is that it's a consistent tone, because it's inconsistent. That's not what a consistent tone means.
Take the Dark Souls universe, every character from that game feels like a Dark Souls character. That game has a consistent tone. Every character feels like a part of a specific setting and story.
LoL is not like that, at all.
I never said whether not inconsistency was a good or bad thing. Now, truth be told as far as games go, I prefer Dark Souls to League. Probably not something I should admit on a League board, but there it is. But the inconsistency of tone does not make LoL a better or worse game in and of itself.
That the world is inconsistent with people doesn't really mean anything, in the context of this argument. Because the world is inconsistent. Almost as a law.
However, LoL as a setting is inconsistent in ways that are less easy to explain than personality changes. A medieval feudal setting somehow being of roughly equivalent importance to a post-industrial magitech area with mechs and advanced sniper rifles? Pull the other one. That makes no sense.
But that doesn't really matter, because we accept that the setting is just that way. And that's again, not a bad thing. Take the Discworld series, by Terry Pratchett. Pratchett refused to make a detailed map because he knew that his stories ran on humor and philosophical navel gazing. And it is one of the greatest fantasy series of all time. The world is beautifully inconsistent, with characters changing shape and personality from book to book, with the setting taking up aspects that are either medieval, industrial, academic, or fantastic based entirely on just whatever the author wanted to write at the moment. And it's amazing.
LoL takes far more inspiration from Discworld, than it does from say, A Song of Ice and Fire, where everything remains pretty consistent as a pseudo late medieval feudal society, with the rest of the world being fleshed out from things all happening roughly within about 200 years of the War of the Roses. That doesn't make ASOIAF better than Discworld, unless your criteria is specifically which is more consistent. But that's an odd thing to judge an entire work of fantasy on.