Your analysis is completely wrong.Sorry- but No it did not work- it was intended to stop the germans from invading france. They simply went around it.
The Maginot line was created to:
1. Protect French industrial regions bordering Germany.
2. Make the Germans go around it and funnel most of the German army through the low countries, so that minimal fighting would occur on French soil.
Historically, it worked exactly as intended and exactly as predicted by French defensive plans. The narrative that they teach in high school history about this subject is just flat out wrong. In my opinion, it is done because there is simply not enough time in a school year to cover this subject in detail and get through the rest of WW2 material. Also, modern military strategy & tactics is not a part of high school curriculum.
Also, as a historical note: Out of ~140 German divisions involved in the invasion of France, only 10 of them were mechanized panzer divisions. The vast majority of the German army in early 1940 were simple infantry divisions.