I may have highlighted the whole passage of scipio's, but what I meant was that she did in fact have an arsenal of weapons at her disposal. The police would have naturally draw the conclusion that she knew how to use them, or at least she potentially knew how to use them.
They had no way to know whether she could or couldn't which is why they asked Jeremy. If they had no one to ask they woudl have to have assumed it was possible. But they would not have even known about the weapons in the firs tplace without having someone to ask...
He told them she knew how to used them all and that he taught her how. That lies served a purpose at that moment. After the family's input repeating the lies would create conflict so he changed his story figuring what he told the other officers would either not come out at all or not have anyone take note of the conflict.
Indeed police did not take note of the conflict or question him about such until September so he was right in a way. But only right to an extent since they eventually got around to it but only because of evidence that made them end up taking note. It should have made them suspicious early on but didn't.
To be fair the only way to know about the change was after getting the accounts of the initial police and comparing them to his statement. But they should have been able to do that a week after the murders.