FYI: There is no know "load" being resisted laterally. It's been argued, believe me... "someone leaning against it" "it should support against a riding lawn mower hitting it". "In my region in winter we see a lot of snowmobiles hitting deck posts".
Ultimately, cars hit buildings everyday and we don't require buildings to resist that impact. For a decade of deck code discussion, "resist lateral displacement" is what could be agreed on.
You can use a load rated manufactured post base, but truth be told, we have no target of load we are trying to resist. I would accept anything that keeps the post on the footing under "normal" lateral loading. PS. There is no uplift resistance required of decks in the standard wind zones.
Just make sure it can't get kicked off the footing.