True compassion means not only feeling another's pain but also being moved to help relieve it.
A prerequisite to empathy is simply paying attention to the person in pain.
There are a host of surprises among longer-term meditators, like a boost in the immune system from a day of practice, which is not seen in beginners, and a rapid recovery from stress or pain. At the "Olympic level" we find there is no anticipatory anxiety when the stress of pain is certain to come, and no lingering aftereffects - unlike the stress reactions in ordinary folk.