Having territorial interests in space will inevitably lead to conflicts in space. Whatever form that may take, it'll invariably lead to immense consequences since things like conflict debris are a much greater concern in space than on Earth.

If, for example, a military vehicle is destroyed on Earth, it's highly unlikely that debris will cause damage to civilians (assuming it's not in civilian areas). That debris will eventually be consumed by the Earth and not be of significant note to anyone. But that same vehicle sending shrapnel and orbital debris around a planet creates a minefield for anything entering or exitting it, regardless of affiliation or alliance.

At the end of the day, you want to avoid armed conflict in space as much as possible. It's why countries shouldn't shoot down each other's satellites, it fucks ALL of them up.