It might be helpful to clarify things.
Cross Training is undertaking a secondary activity with the goal of benefiting a primary activity. (For example, roller skating during summer to improve one's ice skating performance.) But the secondary activity is often changed or discarded when the benefits have been reached. (Once the ice rink opens, you stop roller skating.)
That's different that undertaking two activities at the same time. My wife bikes and runs. She does both year round, and does not bike to improve her running nor run to improve her biking --- they are two separate activities.
IMO, most people say they are cross training when they are really doing two activites at once.