The problem is that by the time Hitler did this stuff the Treaty was already full of holes, totally defunct, and France already had to garantie not to take the same kind of military action again.

So yes, it is true that it gave Hitler prestige put Hitler had already a lot of control of the state and was already preparing for war at that time.

The war happened because Hilter and co wanted war. Hilter came to power because of a economic crisis. The rest is just Hitler gambling again and again, not the root cause.