A cubic mile isn't a widely-used measurement of volume. Everyone knows what a 2-liter of soda looks like.
But quoting a value of 4.4 x 10^19 liters is meaningless for most people.
"Of course, that's 22,000,000,000,000,000,000 two-liter soda bottles!"
So cubic miles seems like a reasonable unit for this pop-science article, despite the fact that you likely wouldn't use it in a published journal article.
Yeah. Long. I doubt most people can eyeball something in the distance and say with accuracy "yeah that is about a mile away" because a mile is really long and people are bad at estimating things. Now do it for 10 miles.
A relatable example like someone has mentioned "its about 10 dead seas worth" would have been a better play.