From my testing, Loyalty Rank can be increased from these specific sources:

Daily Login - 5 points
Winning a battle - 3 points
Accumulating wp - 1 point for every 1000 wp earned lifetime
Using Aurum (not just buying it), 1000 points for every 2000 Aur ($1 US)

Wait, 1k points for every dollar spent? So buying a respec will give me 19k points?
yet winning 200 battles with 2k wp will only give me the same amount of loyalty as spending a SINGLE dollar on this game?

That can't be right at all.

To get through the first few ranks is pretty simple. It only costs a few thousand points to get through ranks 1-5, and then it gradually gets steeper until you're looking at about 120k to get to rank 10, and something like 350-400k to get through rank 11

I can only imagine how insane the values must be to get from 14 to 15, but if it keeps increasing at such a crazy amount, we're looking at a few million or even 10-15 million for the final rank. To put that into perspective, that would be $10,000 worth of aur...which makes loyalty rank 15 almost impossible to obtain unless you have a ton of money lying around. I doubt it would be possible to get simply by playing the game.
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The question I have is...is this how loyalty ranks are supposed to be? Is it really intended to have in-game purchases weighted so much that actually playing the game barely gives you anything at all?

Or is there a hidden way to gain Loyalty Rank that I haven't found out about yet?

Because from what this data has shown, Loyalty Rank is just a way to gauge how much money a player has put into this game compared to other players.

Daily logins are the stackable bonus you get from logging in every day...not just points for simply logging into the game.
35 points per week is silly though.