First thing I need to clarify is that “as has space” here is a reversed structure. And then our question will focus on why it wasn‘t “as does space have”. As we all know, have/has is a special verb which can be used as either predicate verb or auxiliary verb. In the case of the above sentence, although "has" work as the predicate of "space", it still carries the auxiliary verb's character, that is, moving to the place preceding to the subjective in a reversed structure. | 
