Pager appears on every node, even if not in view

Maybe this is the intended behavior, but it sounds like a bug to me. After creating a pager based on a view, the pager appears at the bottom of any node of the chosen type (at least, I saw that with story node types). That is, it also appears on nodes that are not included in the view.

Maybe I'm missing something about using parameters. I use Views 5.x-1.5. Created a view with a filter based on a taxonomy term. The pager actually returns only the nodes in that view. I thought it was great until I saw the pager in a node in a different category.