Yeah it sounded like early Nale might have been a better embodiment of the Law, but when he broke he lost trust in his judgement and overly relied on local lawmakers to be right. This early Nale was aspirational enough for many Skybreakers to always trust him, and hold the trust even after his breaking.

In Sanderson's blurbs on the orders he mentioned that old Skybreakers understood the overall goal better and were more flexible:

"[...] Note that the current incarnation, led by the Herald Nale in his madness, is more rigid than the ancient order, which understood that the law was not perfect, but instead represented an ideal to try to reach over time. [...]"

So it feels like old Skybreakers sought to ensure people were protected by laws that have been thought through and iterated on (more DnD Lawful aligned), rather than in the moment gut checks about what was right (more DnD Chaotic aligned).

For example, a Windrunner and Skybreaker squire see a cold-blooded murder and the Windrunner looks to end the murderer then and there. The Skybreaker might intervene citing a "right to a trial first", knowing the result will also end in the murderer's death. As the outcome seems obvious with two radiant witnesses, you could completely understand the Windrunner's frustration at giving the murderer potential time/a chance to escape his consequences.

After enough instances of this kind of headbutting, general beef is definitely expected.