Why do chaplains have to be religious?

This train of thought started with this article, then wandered a bit.

So you have a group of people brought together by or for some purpose other than religion. Then you think it would help for them to have a chaplain. So why does it help that the chaplain is religious?

I can sort of see in military deployments abroad how it would help to have someone on hand who can conduct religious services, although the chaplain can only be on denomination at a time so I'm not sure how well it helps (Father Mulcahy on MASH claimed to be able to do multiple xian and Jewish denominations, but I'm not sure whether that counts properly.)

But in the workplace, you don't need that. When people finish their workday they go home every night, and their place of worship if they need one is right there. If they require spiritual guidance specifically, they can go wherever they'd normally go for that sort of thing.

So what else do chaplains do other than their specific religious jobs? Counselling and morale, essentially. So why does being religious help for that? If the person they are helping is an active and devout practitioner of the same religion it might help (or it might be irrelevant), but because the workplace is a group of people gathered together for a purpose completely unrelated to religion, you have no way of knowing what religion the employees are going to be.

So suppose you need counselling or morale, and the person you go to has some kind of pastoral training in a religion that is not your own. What's the best that could happen? The best that could happen is they help you without introducing any religion into the matter at all. But any intrusion whatsoever by a religion that is not your own would be simply detrimental. You'd be worse off than you were before, because now not only do you have this problem, but you have to deflect the person the company has sent to help you with it.

But suppose you need conselling or morale, and the person you go to happens to be the same religion as you, but their training and the help they give you is completely secular. So what's the best that can happen? The best that can happen is they help you in every aspect of your problem except the religious aspect, for which you'd have to go to your place of worship. What's the worst that can happen? They can't help you at all because it's too spiritual a problem. So you go to your place of worship for help.

So if the best thing a religious chaplain can do for employees of a different religion is keep their religion out of it, and the worst outcome of a secular chaplain for religious employees is that people who go to church have to go to church, why bother to hire religious chaplains? Why not hire people with secular training in counselling etc.?