Anything produced and published by Wizards of the Coast certainly can’t be considered “homebrew,” it is the very epitome of ... whatever the opposite is, “workbrew?” perhaps. “Homebrew” refers to fan efforts, stuff done by a few people, casually, in their free time, and usually not sold. While homebrew can certainly be quite polished, when you do things like create a company for the work to fall under, purchase art and other assets for it, have it professionally type-set, and offer it for sale, you aren’t talking about “homebrew.” When you’re talking about a major multinational corporation with a budget in the millions, like Wizards of the Coast, you definitely aren’t talking about homebrew.
However, the Plane Shift products are also not to the same caliber as most other 5e supplements. They are primarily a passion project for some Wizards of the Coast employees. The projects working on them don’t seem to enjoy the same budget or priority that “real” supplements do, and they don’t get a full team working on them. This makes them somewhat similar to Unearthed Arcana material, though they are “final” in ways that Unearthed Arcana material is often not.
Plane Shift material is not allowed in Adventurer’s League.