Cannot use fields as product attributes if they are within a field collection
By default Drupal Commerce supports list type fields (list, term reference - list, etc.) as Product attributes, not sure but may be because pre-defined list of values.

It would be difficult to get the field collection as your product attribute, because attributes make the product Unique and using the field collection won't give you much feasibility to use every field value to differentiate between product. Instead you can re-use fields in every product type and get it working easily.

If you still would like to give field collection module a try, you can check Drupal Commerce module in detail for attributes implementation or refer Commerce Attributes Date module which allows date field to be used as Product Attributes (Drupal Commerce doesn't support Date type field as attribute by default).