Either match the foundation of the house or leave them.

I think the stone would lean craftsman but the house is not so I would leave them

I hope the gutter people do a good job for you. Do you get much snow there?

I think your columns as is are as acceptable as the plan.

Didn’t realize palms grew in heavy snowfall areas.

@ShadyWillowFarm golly am I stupid!

Discuss with your contractor whether the base of the posts as they are will be subject to rot (i.e., if they are "sitting" on the deck surface). If, however, the posts are on concrete bases below the deck, you could minimize rot by cutting away just a sliver of the deck boards around the perimeter of the columns so there is no place for water to accumulate around the posts - i.e., you want to avoid wood-to-wood contact in a places where the columns and deck are exposed to the elements and rain. As for design -- it would be nice to have some sort of trim around the perimeter of the columns if you decide not to put the stone base. (It's possible to put some wood trim that won't rot if it is done correctly with seams caulked, etc.)