The correct way is the tube lines you see to be at the bottom... the lines aren't the issue, the top of the adapter (at the bottom left in those pics) won't clear the engine and reservoir its correct orientation, the orientation in the pic is the only way it can clear everything.How much of a hassle would it be to put longer brake lines in? Looking at the first pic, that looks to be the only option. Then the adapter could be installed the correct way? Just my observation, looking at a 2d photo.
Longer brake reservoir line would reduce the pressure the adapter puts on it, but regardless of that, the oil lines from the adapter to the cooler would be in the way to change the filter.
And there's no where else to put it, the adapter mounts to the stock oil filter mount, which itself can't be moved as there's neither a place else to move it or a way to move it.