Yes the wire has inductance but as Alephzero says the inductance of the wire in a very large loop doesn't account for the inductance. What I am getting at is if the loop is very large like 1000 miles the inductance is very large but the field across the loop decreases at a squared rate so at some point that too will become negligible so how can the inductance be large since no field would be measured across the loop of a large inductor.
