Is the Navigation Menu suitable when I just want to allow arrow key navigation within a group of items?

[bikoraki]

I want to render a navigable group of items, such that the user can focus on the group itself and then switch between the items in the group with arrow keys.

For instance, in the picture below, the user would Tab into the box, focusing on the first tag by default, and then use left-right keys to switch among tags. Hitting Tab again should blur the entire tag group and focus on the next element (in this case, the "type something" input).

AFAIU I can achieve this pretty easily with the navigation menu primitive. However, I wonder if that's how it's meant to be used semantically, or if it's only meant for large menus that navigate an entire website.

Many thanks.