Re: Where to rest porch column -- atop floor, or atop framing
IMO the only time the column resting on anything other than flooring is the occasional porch where a brick or stone pier is brought up to finish floor height, or higher, like a plinth. Otherwise tradition dictates that the column base rests on flooring, and the flooring board make a straight uninterrupted line from end to end as the drip edge. Fitting 2" pieces of short grain floor boards at the edge as separate entities becomes a maintenance nightmare, as they split, do not stay straight, and the whole perimeter is something of a water trap.
The other way to look at this question is from the framing angle; there indeed should be adequate support under the column so that the load carries through to the supporting foundation below. A column should not stand solely on flooring with air underneath. That will cause the flooring to sag into a dish. So add some blocking; an open box structure is preferable to a thick sandwich of wood, which traps water and leads to premature rot of the flooring. As much support as is needed, but no more than is required.
Remove not the ancient landmark, which your fathers have set.