It's not semantics, it's an approximation. Events that happen on the same planet are not relativistically distant, so such approximations are mostly fine in our

It's not semantics, it's an approximation. Events that happen on the same planet are not relativistically distant, so such approximations are mostly fine in our daily lives; the same as how Newtonian gravity is fine to use in many situations. But today we're talking about astrophysics and a proper understanding of Relativity matters.