Menu items have effect on a website rankings?

A few months back I did a partial redesign on a client website. Someone before me created a menu with Uber Menu using WordPress, so I implemented it at the clients request. This thing is massive and has about 200+ items on it with different cities etc. on it for service.

Now doing competitor research to try and get an idea of word count on my clients site vs. the competition to see if we need more content, I am seeing all of these cities pop up as words that it's counting, so is all of the data from the menu possibly negatively effecting the SEO of this website? It ranks fairly well, but I ask because I saw this in an audit before as well and I want to know if huge menus show all of this content to google's spiders so it sees all of this duplicate content in the menu with the same services in different cities.

they might see it, but duplicate content won't rank well. yea I've seen sites rank but if the site doesn' have the backbone (backlinks, traffic from social.media, links from authority sites and more) there' a big chance its going to take a while to get the results you want ..or I mean the client wants. big G wants it unique, easy to navigate and to the point as ..remember Big G makes it's presence by supplying it's users with the best possible information... make sure You're menus is at least categorized and in layers of importance to the visitors and don' forget to ping those pages . I use rankontoponline for pinging pages. and try to get every page indexed. (Big pain in the arse) but worth it.
just my half arsed two cents.

I think you can create submenus under main menu, its worked for me. It looks good. We can separate each cities under one main menu. Hope it's help you.

Making sub-categories under cities can help you solve this problem. By doing this, everything will get appear in a well-organized way.