I genuinely very much want to see the info, not too long ago on a discord server there was a large argument on whether Germany deserved what it got and as a result the causes of war were looked it.
I'd be very interested to see the points for your argument of France being at fault.
I'm very much not an expert, I just happened to have finished a really great book on the subject. I recommend you all read it.
Anyway, here are a few of the big trends that, imo, helped cause the war, that are not being mentioned (and relate directly to the OP).
1. The fact the war broke out over Serbia was not a random chance, or bad luck. France had deliberately and knowingly included a 'Balkan Inception Plan' into it's war plans with Russia. Indeed, to Paris, a Blakan based war was the best outcome since it was assumed Austria-Hungary would have to divide its forces in such a conflict, between Serbia and Russia (which it indeed did). This led to France being very aggressive about Russia's Balkan policy despite having zero stakes there. Indeed, during Balkan warscares in 1912 and 1912 Russia actually was so alarmed at French' ambassador's belligerence, they had to be told to calm down.
2. France had poured millions of francs into Russia for years, with one purpose. To give Russia the most aggressive and fastest offensive war plans in Europe. To influence Russia to arm and mobilize fast and hard, and most importantly to view Germany as the main threat even in a conflict that started over the Balkans, where A-H would be more natural. Paris (and later St. Petersburg) was so sure Vienna was just a cog in Berlin's wheel, it was viewed that any coming war would auto include Germany so France pushed hard for any Russia war plan with A-H to consist mostly of a massive armed push into East Prussia.
When I said I blame France for the war, I was being unclear. I do not mean to lie moral culpability for the war at France's feet. I think trying to find moral fault at the national level for the start of WW1 to be folly. All the states are guilty or not guilty in various ways (I much prefer to find moral fault at the individual, human level). What I meant to say was France did the most to change Europe from a multi-polar 'Concert' of powers into a set of two gigantic blocs, one anti-German and one Pro-German. Without those blocs, you don't get a war like WW1.