It appears that Indeed.com is adding this tracking code and that it isn't being added within Google Analytics. The Indeed agent with whom I emailed said, "I reached out to my product team to confirm we can remove the token, but after removing the token you will not be able to track the organic traffic coming from Indeed through Google Analytics."
Not sure what this meant, I asked, "What is the token? What does it do? Is this token the reason that "=Indeed&utm_source=Indeed&utm_medium=organic&utm_campaign=Indeed" is being added to the URLs on the Indeed website? If we turn off the token, what happens? Wouldn't we still see this same traffic coming from Indeed, only included in the Google Analytics "Referrals" report instead of in the "Organic" report?"
Indeed's response: "If we turn off the token &utm_source=Indeed&utm_medium=organic&utm_campaign=Indeed, it will mean that we won't be able to track organic traffic coming from Indeed through Google Analytics."
Kind of vague. I'm still working on clarification, but the short answer is that Indeed is adding this tracking code and that this was not an action taken by my client within Google Analytics. My guess is that if I ask Indeed to turn off the token, the visits will appear as referral (as they should in my opinion). Hope this helps others!