There is no evidence that the German objective was to capture Paris. The city was heavily fortified, and would have cost more to capture than it was worth.
In fact, the German plan was to envelop and crush the French army in the field, just as in 1940 when France surrendered without Paris being captured. Defeat the enemy’s forces and he’ll offer an armistice; that’s how war actually worked.
Even in WWII, it’s really only Berlin that was directly captured, and this an extreme case due to the ideological extremes of the regimes involved. Tokyo and Paris were occupied after their countries surrendered, and Rome was captured from the Germans after Italy had flip-flopped.
Correct-ish. Paris wasn’t the objective in the original planning, but it was something that had to be taken into account given there was a rather large garrison force that could strike out. But Paris did in fact turn into an objective in the autum of 1914, to the eventual doom of the Germans they thought they could do it, and so took divisions that originally were planned to march to the east and sent them south to Paris. In the end the German strike force was left with two avenues of attack with not enough troops for either, so they did differ from the original plan and made Paris an objective….not that the plan was ever going to work even if they didn’t.