Gmuli you impressed me why you insist on this .. is simple don't stuck on it !!
Month is the basic "Commander of 30 days" of the day branches even if day is forceful on its acutness ...!!
On the other hand don't mixing the day of animal's death with the day of divination ... you must be more safe with month branch .. !!
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Coz if that rule doesn't work clearly it may mean countless other problems upcoming in the future readings. Back that was animal, next time may be a person.
And I'm not saying I would expect the animal to be in perfect health or anything.
But my idea is - if we have Day and Month against the Line - that would suggest the animal is gone.
But we have day supporting it and month against it and we read it as also animal is gone is strange.
That basically means day isn't just weaker then month, its so weak that it doesn't change anything from the worse possible reading when both are against it. And that isn't right, in my view/experience.
Edit: Well, ok I get the idea that moving line carring the month may bring another meaning to it, yet still doesn't seem to fit to the worse case scenario when there is support from an important factor like day branch.