Hi Dan. Welcome
The employment history does not affect or impact your score at all....... BUT you should definitely have it removed. That's part of the first steps when you're updating and deleting all of your personal info. Get AS MUCH info removed. When you start disputing TLs on your CR, most of them will end up getting verified electronically..... and the less identifying info you have on there, the better. The better your chances will be at getting a delete.
From what I've learned, if the CRAs can match up at least 3 pieces of identifying info with the CAs.......they call it good.......verified. That's why any old addresses, name variations, phone numbers and employment history should be removed.......therefore making it more difficult for them to verify the debt as yours.