In general yes, but that can not always be the case.
Explanation:
The countries around the world have borders of numerous types. While some have been roughly determined on ethnic base or on national identity, some are not. Unfortunately, very often different groups of people from different ethnic or religious groups have tensions between them when put in the same borders, leading to violence, conflicts, and even genocides.
The primary argument as to why the countries should have borders set in accordance to the ethnicity is that it will contribute to elimination of internal problems, and the different groups of people will not be allowed to engage into conflict with each other. While this is a possibility for some countries, like Finland, Mongolia, Italy, for some like the US, China, or Russia it is not really a possibility. The reason for that is that the US for example is a country made up of people of all sorts of ethnic backgrounds. China has numerous regions where there are other groups of people, but in all of them it is Han Chinese that are majority. In Russia, most of the autonomous regions that have majority of other people groups will not be able to survive on their own.
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