Ruling on home game hi-lo game (no qualification)

[SumZero]

There are a bunch of games in our dealer's choice cycle at a home game that are played hi-lo cards speak. In a bunch of them someone only has 5 cards and since there is no qualification people can end up with similar type of hands. Everyone we play with agrees that (non-flush) AQJT9 is both a better low and a better high than (non-flush) K5432 (I.e., A can be low for the low hand but high for the high hand). The question that comes up is about hands with pairs/trips/2pair/full houses where one of the pairs/trips are A's. I.e., if the AQJT9 scoops the K5432 does the AAQJT scoop the KK432 with pair of Aces being the best pair for low and the best pair for high? Similarly does AAAKK beat QQQJJ for high and for low or just for high?

I think the only regular casino type game where this could come up on is 7 card stud hi-lo no qualify but even there with 7 cards it is doubtful that this comes up that often.