Are you referring to baseboard as trim? Do you have wood flooring and want the baseboard trim stained to match your flooring? Please post several pictures of the rooms or areas you are referring to.

I think it depends on your overall home style and what kind of balance you are looking for. I see many homes with stained wood only as accents (fireplace mantle, stairways, kitchen island, etc) then white trim used for crown, window/door trim, etc. Like Kculbers says, you'll get more help if you post what your interior space looks like.

I think we need a bit more info and some pics of your space. For sure this decision is a big one so I would need to see your space .

@Patricia Colwell Consulting, the said house is a new construction and we should reach the framing stage pretty soon. If it helps, i have posted the floorplan, but I have no photos of the space.

@Fori If I'm hearing you correctly, based on the continuity of the said formal rooms in our floorplan, we would likely have stained in the first floor and white in the second?

I assume you are talking about chunky substantial trim at least 4-6 inches wide x 3/4 in thick? Traditional and yes timeless (FOR A CRAFTSMAN) would be dark fumed or stained oak. Since this new take on the old style, you could do any stain color I think - even black or gray. But not white - reserve that for kitchens, baths, utility spaces.

Sometimes it was the bedrooms that were painted, while the more public areas (where guests would see) was the more expensive grades of wood (stained.)

Alternatively, if you can afford only paint grade then look very closely and choose just the right brown, beige, greige, blue gray or green gray for throughout your living spaces and white or cream for the utility areas.

That said - if you are just getting the skinny skimpy stuff from big box, I would just de-emphasize it entirely and paint it a semi-gloss version of either wall color or door color.

Re "I see a predominant tendency to have white trim". I think that pretty depends where you're looking, no? On Houzzz - yeah, no doubt! Google images for gray painted trim and dark painted trim- see what you think of that. That could give you a more economical solution while still fitting with the tradition of dark trim.