If the Guardian's account earlier in the day is to be believed, this would seem at first sight to be a victory of sorts for Turkey. According to the Guardian, Turkey had insisted on full NATO control of the campaign while France preferred only partial NATO involvement. Full NATO control would give Turkey veto power over every operation and Turkey has already expressed opposition to the ground bombing campaign. It seems other Middle Eastern countries like Qatar may also participate in the NATO decision-making body on an ad hoc basis, as happens already in Afghanistan.
This sentence in the Guardian's latest article would seem to suggest that the agreed solution is more in line with the original French plan, however:
Political oversight will be in the hands of a committee of a smaller number of countries involved in the military campaign.
It will be interesting to see whether Turkey has veto power as seems likely and, if so, whether it uses it to stymie effective operations. This certainly has the potential for more dramatic quarrels. And the legacy of bitterness this week's tussles have provoked is sure to have long-lasting diplomatic effects. France must be absolutely furious about the way Turkey has acted.