Hallway and living/dining area same flooring?

Very good. As I said, it is warm to the touch, has some give when walking on it... I sometimes walk barefoot (still broken foot). It feels somewhat like parquet. Not like tiles, natural stone, or anything similar. Seamless throughout the entire house. Also in our shower. Through the surface treatment, you can influence many things. The appearance changes depending on the additives. The base color is always dark (as seen from above). From the side, it appears significantly lighter. We have it ourselves in the garage. For aesthetic reasons, we switched to polished at the last minute. Now it looks just like in the house. In the garage, it is a different asphalt (frost-resistant). We couldn't imagine any other floor. As compensation, we have the wood on the ceilings.

Don't forget natural stone, relatively low maintenance, very warm ambiance, almost indestructible (except red wine, etc.) and absolutely timeless.

If it should be neither plastic-like nor pollutant-laden, I would recommend linoleum to you. It looks really good nowadays! I myself have wood everywhere, except in the hallway and guest bathroom and wardrobe. I am very glad about that. Tactilely the nicest material. And it feels warmer than tiles, despite underfloor heating everywhere. Linoleum would be my second favorite. I really don't understand why it was only a provisional solution for one of the previous writers? I will probably use linoleum kitchen fronts for it. Simply because the material is so nice. :)

Very special and not to everyone's taste —> hot asphalt. We have it everywhere. Foot-warm, flexible, low maintenance... But it has to be well planned from the beginning.

When I search for hot asphalt I find nothing. Is this also called mastic asphalt screed ? And what does such a floor cost, e.g., in the garage per m2?

Yes, it also means cast asphalt screed. In other words, there is no other screed. It's like on the street. Only dry fill and insulation underneath.
Cost-wise similar to screed + high-quality covering. Depending on surface treatment, scattering... it gets more expensive.
For a small area, setup or one-time costs are disproportionately expensive.
The covering is applied hot with small buckets as before. So anything that comes into contact with the covering must withstand the heat (>200°C). Afterwards, it is ground. Lots of dust...
Pictures and explanations are available in my thread.

Linoleum would be my second favorite. I don’t understand why it was only a temporary solution for one of the previous posters?

Hi, because it was a shared flat for a limited time (1.5 years), but I didn’t like it that much either. It was already 10 years ago and who knows how old the linoleum was back then, there are probably nicer versions today. Regards, Olli