Again, you never answered my question.
If, by some circumstance, the unit with ASF and ASL loses ASL, do they get ASF back? And vice versa, if they lose ASF, do they get ASL back?
There is no part in the rules that states when a unit loses one of the rules, they get the other back. Therefore, by your logic, if they have both rules, they lose both rules, permanently.
So, let's say a unit with ASF runs into a Frost Phoenix. The Frosty give the unit ASL. Now they lose both rules? What happens when the Frost Phoenix is no longer there (ie. killed, or flees)? Are you saying that the unit doesn't get ASF back because their original ASF got cancelled out by the Frosty's ASL?!? That's ridiculous.
No. The LOGICAL way is that they maintain both rules, but the effects cancel each other out. They don't lose the rules. Nowhere does it say they LOSE the rules.
On top of that, what do you think happens if white lions (ASF and ASL) fight a Frost Phoenix with Blizzard Aura, that gives the white lions ASL again? Under your logic, the ASF and ASL cancel out, then the ASL from Blizzard Aura will make them strike last, no longer at Initiative. Yet the FAQs clearly state “However, unless otherwise stated, a model gains no additional benefit from having the same special rule multiple times.” Your logic is ultimately flawed, sir.
Feel free to answer either of the underlined questions.