I can understand your concerns, but the smell disappears after cooling down and a few days.
Here is an excerpt from the Building Biology magazine:
"Cast asphalt screed is a bitumen-bound screed. A filler mixture of stone flour, sand, and gravel in the ratio of approximately 1 : 2 : 2 is mixed with about 8% bitumen in a hot state as a binder, homogeneously mixed, and applied in a liquid form at about 250 degrees Celsius.
Cast asphalt screed offers several advantages: it is water-free (so no moisture is introduced into the building), impact sound insulating (low sound longitudinal conductivity due to 'rubber rod-like behavior'), and can be walked on and covered after only a few hours.
The binder bitumen is indeed derived from petroleum but must not be confused with the binder tar, whose emissions are considered highly hazardous to health.
In the hot state, for example during processing, health-hazardous emissions from the bitumen content must be expected. Therefore, protective measures according to technical regulations should be strictly observed.
In the cold state, however, no significant toxic emissions are known to us. Installed cast asphalt is therefore, according to current knowledge, not harmful to health."
Thus, we have no concerns regarding building biology here.