Pretty much, only detail missing is that it was the season for fruit. So, there is an added sense that by all natural laws the tree should have had fruit and it's lack was a particular aberration to a societythat used the fig so much.

Also, thematically, it rounds out God's domains. Up to this point, there had been miracles showing dominion over weather, matter, human life, animal life, spirits, disease and now there's plant life.