People who built a house with night storage heaters 30 years ago often did not install a chimney either.
Did they end up happy with that?
You see them everywhere, these unsightly, even downright ugly stainless steel chimneys on the exterior facade. Those were also the super smart ones who thought, why do I need a chimney. And now the retrofitted stove doesn’t heat the house but the outside air. Others, on the other hand, retrofitted it inside the house with ceiling openings, roof penetrations, etc. All very expensive afterwards.
I would neither buy a house without a chimney nor build one without it. But well. Everyone can do as they please.