it does not hurt for bales to be left in the field until needed.
Are you suggesting it is ok to leave them sitting out in the middle of the field? Keep in mind they've been sitting there for two months. Where each one of those bales are setting he'll have weeds come back before the grass.
The guy I rent hay ground from would flip his lid if there were hay sitting in the middle of the field for two weeks, and I can't say that I blame him.
As for the hay in windrows, run a bush hog over those to spread it out.