Want an example of when the German Army began an offensive when the opposition had months to prepare a defense in depth try Kursk.
The main problems in France in 1940 were political and organizational in nature. The French did have more and better tanks, their fighter aircraft were as good as their German counterparts. None of these were deployed properly. In Paris, unless there ia a way to get every one united behind the war effort it wouldn't matter if you had 6 extra months or 6 years it would end the same way. In OTL with France occupied, French generals and politicians were still fighting each other over who was in charge even after the Torch landings.
The British could pour more men into France...
The tanks equation is a little deceptive:
It is true to say the allies had more and better tanks than the Germans, but the 2 facts are only true in isolation.
The majority of French tank strength was the 2000 odd Renault FT17s and these were so useless they remained (mostly) in storage for the duration of the campaign. There were another 1000 odd H35 types with short 37mm guns again not what you want for tank to tank combat, leaving only 1000 odd Somua and Char B1 Bis. The Brits contribute another 200 roughly mostly cruisers, some light perambulator types and only a handful of Matildas. All told yes the allies had more and some of them were better but the majority were worse than the German vehicles.
Given another 6 months the British would have more tanks to send to France but could they have been gotten over the channel in time to deal with a German invasion? It is also likely that at least some of the new 6 pounder AT guns would have been produced but again could they have been deployed in time?
French heavy tank production seems to have been very slow and I would expect no more than another 400 of the Somuas and Char B1 Bis at most.
The equipment may be completely secondary to the outcome: With an additional 6 months the French may have gotten a bit more leery of the danger to their centre and garrisoned the Ardennes with 2-3 corps instead of just 2 light infantry divisions and maybe a better fortified Belgium. These 2 things would most likely have scuppered the German plans for a short victorious campaign.
So each division needed 561 light tanks? Maybe 62 medium tanks (50 PzIII+12 PzIV) would be enough for a 'medium' tank battalion alongside three battalions of 128 light tanks? That would free up a battalion of light tanks from 4 divisions (512) allowing enough for an extra similar division. Improvement and growth.Panzer Divisions 1935-1939
Each division had one Panzer Brigade composed of two tank regiments with two abteilungs (battalions) each along with other units. Each battalion had four companies with 32 light tanks (PzKpfw I and II) each. Entire brigade had 561 tanks including command tanks.
So the Allies have 6 more months to Reequippe there Armys and air forces
as well as reorganize there Units . Would this make a difference to how the War went . The French would have 6 DCR Divs besides there other div's they were raising .
I assumed the latter (BoF delay) since France is credited with more preparation, but Poland isn't. Wartime production and planning might be more urgent than rearmament on the allied side.Are you meaning the invasion of Poland is delayed from September 1939 until the spring 1940 or do you mean the Battle of France is delayed?