It's about as meaningful as "a couple that had a red toothbrush," unless you want to make something from a word as nebulous as 'Asian.'
There's no life to the story, it's to vague to even parse. Who was eavesdropping on who? Both on each other? A mutually distrustful relationship? How much was the pay, what were the stipulations? Does 'duo' imply they work together?
Some details are merely descriptive. Others have a history of being associated with discrimination in some form.
Unless race is relevant to the story, it should be omitted. I’m sure there are plenty of other details about the couple that could be mentioned if you need to spice up the story.