Their existence is a benefit. They let animals know that they’re taking some form of damage and in a sense, how catastrophic that damage is. Keep in mind, for the rest of the animal kingdom that doesn’t have the benefit of modern medicine, a cut even if not immediately fatal, can lead to an infection. Which is why you see some animals nurse wounds, in order to speed recovery and decrease risk of infection or the wound deteoriating from further physical stress.

Now if you’re referring to stuff like chronic pain/illness there’s a discussion to be had about minimising pain and these receptor can indeed seem detrimental. However, if we had no receptors if you got a bad enough cut (on the back of your leg say, or somewhere out of sight). You wouldn’t know until you, hopefully, woke up in a hospital having passed out from blood loss. Else you just wouldn’t wake up.