What practical difference does it make whether a conflict within a country is
called genocide?

It differs in the context of the commission of the crime.

Explanation:

Organized execution of specific actions in the direction of biological destruction of a particular group due to national, religious, racial ethnicity and belonging to that group is called genocide. Genocide also differs from other crimes in that genocide is a targeted and organized commission of a crime.

There are several actions directed against a particular group that allude to genocide: Killing a member of a group of people, Causing grievous bodily or mental harm to members of a group, intentionally exposing a group of people that could lead to their complete or partial destruction, forcible transfer of children from one to another group of people. If any of these actions are evident in the conflict, then we can define that action as genocidal, and as such, deviate from the customs and methods of warfare established by numerous international conventions.

a stronger government