I made two menus, and two header themes. I set the menu for the home page on the header theme for the home page only, and the menu for the other pages on the header theme for the other pages only. It works perfectly now.
The menu has a styling that changes the background of the links when the mouse moves across them. I have 2 links that are anchor links, pointing to 2 sections on the home page: #contact, and #subscribe. When I move my mouse across those links while on the home page, I guess they are considered “active” and thus there is no effect, just as there is no effect on the link for “home.” This breaks with the continuity of the menu, where I would hope that each link would have the same effect when the mouse moves over it.