Kitchen sightlines or a concealed prep zone?

I’m working through a single-story open floor plan where the kitchen is 12 by 15 feet, the dining area is about 11 by 12, and the living room is 16 by 18. The kitchen currently opens directly toward both spaces, so whoever is cooking can stay involved in conversations and keep an eye on the room. The concern is that dishes, small appliances, food odors, and cleanup would remain visible from the sofa and dining table.

The household cooks most weeknights and does more involved meal preparation when entertaining, so this is not just an occasional-use kitchen. We are considering three options:

1. Keep the kitchen fully open with a large island.
2. Add a partial wall or raised section to screen the sink and prep counters while preserving some sightlines.
3. Create a small butler’s pantry or secondary back kitchen for messy prep, extra storage, and countertop appliances.

A pantry or back kitchen may fit behind the main kitchen, but it would reduce nearby storage or slightly tighten the circulation route. I’m also wondering how much the concealed zone would add in framing, cabinetry, plumbing, electrical work, and ventilation. A second prep area seems useful, but not if it becomes cramped or requires carrying everything around a corner.

For those who have designed or built similar layouts, how have these choices affected everyday interaction, cooking noise, odors, ventilation, cleaning visibility, and traffic between the kitchen, dining area, and living room? At these approximate room sizes, would you prioritize uninterrupted sightlines, a partial screen, or a genuinely separate prep space?