A Early German held Luxembourg?

I have a quick question for the board here and it revolves around whether it would have been possible for Prussia do also declare war on Luxembourg during the Franco-Prussian war and have a small force head to the (Duchy?) and annex it. What I'd like to know is whether this would be a feasible action for Germany to pull off, and whether Luxembourg had any treaties that would have brought more foreign powers into the fray? If not, would the introduction of Luxembourg into the German Empire have made any difference during World War I? That may seem far fetched but with it in Prussian hands would they have even needed to invade through Belgium? Or would the French have continued their fortifications to the old French border with Luxembourg?
 
I have a quick question for the board here and it revolves around whether it would have been possible for Prussia do also declare war on Luxembourg during the Franco-Prussian war and have a small force head to the (Duchy?) and annex it. What I'd like to know is whether this would be a feasible action for Germany to pull off, and whether Luxembourg had any treaties that would have brought more foreign powers into the fray?

Only a couple of years earlier (1867) Prussia agreed to Luxemburgian neutrality, after France tried to buy Luxemburg. If Prussia decided to attack Luxemburg noone would trust a treaty with Prussia anymore. Other countries would fear Prussian agressian. Prussia would be a diplomatic paria and be isolated. Other, neutral, countries will form alliances to stop Prussian agression.

Besides that it could possibly cause the interventionof the other countries who signed the treaty of London (that established Luxemburgs neutrality), like the Netherlands (which to be fair wouldn't terribly impress Prussia), Britain, Austria, , etc (which would impress Prussia).

Basicly it was a risk that was not worth the reward. Good relations with neighbouring countries and being able to finish the war with France without foreign intervention is worth far more than the tiny bit of land Prussia would give Prussia. And obviously Bismarck knew that.

If not, would the introduction of Luxembourg into the German Empire have made any difference during World War I? That may seem far fetched but with it in Prussian hands would they have even needed to invade through Belgium? Or would the French have continued their fortifications to the old French border with Luxembourg?

Assuming WWI isn't butterflied away, which is likely, of course the French would extend their fortifications along the entire German border, including Luxemburg. I see no reason why they wouldn't.
 
In addition to pompejus's points, France started the Franco-Prussian war. They just happened to lose very badly. Prussia had no reason to declare war on any other state, and to do so would have gone against Bismarck's plans.
 
And it would be useless

As I remember the Luxemburg´s fortress were destroyed and the Duchy stayed as part of a personal union with the Kingdom of Netherlands but it was still part of the Zollverein so there were no benefit from annexing it. However, when they had the possibility they just invaded and occupied it like in the WWs as it was seen as an easy province to integrate compared to every other conquered territory.
 
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