Assuming that the floor is well insulated, it shouldn't make much difference. If, however, the floor is not insulated well and suffers through temperature changes as the year progresses I would suggest an engineered product rather than natural hardwood. The engineered products do not have the same amount of swelling and shrinkage due to temperature changes as the natural products do. With the correct underlayment and the typical "floating" design they can also tolerate greater changes in the subfloor.
A bigger concern is moisture, but you should not have any moisture problems in an area finished as living space. The amount of traffic should influence your decision; a soft product will not last as long. For example, the bamboo floor pictured in my hub is a dining area and the constant scraping of chairs has left many scratches which are difficult to repair; the "traffic" of moving chairs is not really suitable for the soft bamboo.