Do I need arrows to indicate hover menus in main navigation?

The main navigation of a website I'm working on uses hover menus and every main navigation item has children that reveal on hover/tap.

Do I need to include a down arrow (chevron) that indicates to users that content will reveal on hover? I've had this debate with designers a lot. They want to conserve the space and cleanliness of the main navigation and feel that the arrow iconography mucks it up - even when I've pushed back and said that the arrows can be super subtle and users will pick up the visual cue.

If there was an inconsistent experience between main nav items (some had children, some did not) I would definitely advocate to include arrows to show users that they will get different outcomes from hovering over different items.

However in this instance, because the experience is the same for every nav item do I need to include this visual cue? Or once users see the experience and that their hover triggers the subnav, will they understand that the rest of the navigation will function the same way?

I don't necessarily like the idea that users have to 'test it out and see', but I'm not sure if it's worth it to constantly keep fighting this battle if it's something that users can quickly figure out.

Attached examples for reference.