It is not unique to this case that how we divide and understand langauges is tied up with politics of nationalism. Have been since the start of modern nationalism. What we call "Italian" could be called "Florentine", it wasn't spoken in all of "Italy" until it became a political project to make it so...
And...
> Until about 1800, Standard German was almost entirely a written language. People in Northern Germany who spoke mainly Low Saxon languages very different from Standard German then learned it more or less as a foreign language. However, later the Northern pronunciation (of Standard German) was considered standard[4][5] and spread southward; in some regions (such as around Hanover), the local dialect has completely died out with the exception of small communities of Low German speakers.
> It is thus the spread of Standard German as a language taught at school that defines the German Sprachraum, which was thus a political decision rather than a direct consequence of dialect geography. That allowed areas with dialects with very little mutual comprehensibility to participate in the same cultural sphere. Currently, local dialects are used mainly in informal situations or at home and also in dialect literature, but more recently, a resurgence of German dialects has appeared in mass media
What is the thing you think needs to be "resolved"? If it's dispute over the names of languages, I'm not sure that was the nature of any dispute in these 19th century examples, or if it did, if it was ever "resolved" by anything except power to impose it.
And...
> Until about 1800, Standard German was almost entirely a written language. People in Northern Germany who spoke mainly Low Saxon languages very different from Standard German then learned it more or less as a foreign language. However, later the Northern pronunciation (of Standard German) was considered standard[4][5] and spread southward; in some regions (such as around Hanover), the local dialect has completely died out with the exception of small communities of Low German speakers.
> It is thus the spread of Standard German as a language taught at school that defines the German Sprachraum, which was thus a political decision rather than a direct consequence of dialect geography. That allowed areas with dialects with very little mutual comprehensibility to participate in the same cultural sphere. Currently, local dialects are used mainly in informal situations or at home and also in dialect literature, but more recently, a resurgence of German dialects has appeared in mass media
https://en.wikipedia.org/wiki/Standard_German