Yes, most of the infrastructure North of Paris was taken undamaged by the Wermacht because French retreat was made in panic. That included fuel depots. Once south of Paris however, the German army will only find destruction and scorched Earth. Whatever can be moved away get moved, what can't be moved, gets destroyed.
The Luftwaffe actually atempts a Blitz Malta-Tunis early in the year 1941, with mixed results, but they don't care: the operation true objective is to harass and destroy Armée de l'air fighter squadrons that defends Corsica so that the German paratroopers can pull an OTL-Crete-like assault.
Basically, the Armée de l'Air just can't defends both Corsica and Tunis, there aren't enough D-520s and H-75 / P-40s (Bloch MB-152s and Moranes were left behind, with Potez 63s)
Once the Armée de l'air lured away (or overwhelmed by trying to fight on two fronts) Corsica is toast, albeit the battle last an entire month. Just like OTL Crete, it is a very narrow German victory obtained at a very high cost.
Climax of the battle for Corsica has Strasbourg and Dunkerque battlecruisers, plus a bunch of cruisers, covered by Bearn and a British carrier, shelling a German bridgehead near Ajaccio to help a French counterattack that very nearly suceed.
Alas, the carriers are soon overwhelmed by the Luftwaffe and the Bearn gets sunk, plus a French heavy cruiser and a couple of destroyers. Unmolested, the Stukas crush the French counterattack and save the bridgehead. Corsica fells early in the month of march 1941.
Meanwhile the Richelieu and Algerie heavy cruiser are send to Scappa Flow to assist the RN against Bismarck and Prinz Eugen sorties in the Atlantic via the North Sea.
Overall, the French fleet has a far better fate than OTL. There are dreadful losses (a lot of heavy cruisers goes down in a blaze of glory - Foch, Dupleix, and others - but Mers El Kebir and Toulon scuttling never happens.