Yes, the knights had a better union, but they did not have a total monopoly on dragon slaying. Forsooth, the following story so illustrates.
One of the lesser-known knights of the Round Table was Sir Humphrey, who was as talentless as he was without talents of silver, though beloved by all. He couldn't afford the charges for a charger, so he rode about on a cart pulled by a goat, and was affectionately yclept Sir Humphrey Goat-cart.
Some months after having sent Sir Humphrey on his annual quest, Arthur awoke one morning to the realization that no one had seen or mentioned Sir Humphrey in quite some time, so he began to seek answers. No one had any, and Arthur decreed that the knight next on the duty roster would have to scout up Sir Humphrey. To his dismay, the next person on the list wasn't a knight at all, it was Lady Pamela.
Summoned into the royal presence (and without even bearing any for him) Lady Pamela explained that women could do everything a man could do and she would find Sir Humphrey and rescue him if such action was required.
After Guenevere announced privately that he would be cut off if he didn't comply, Arthur acquiesced, and Lady Pamela put on her femail and went in search of Sir Humphrey. Find him she did, wounded and captured by a foul dragon, held captive in a forbidding cave. Pamela lopped off the dragon's head and entered the cave, where she began to bind Sir Humphrey's wounds. Humphrey looked over her shoulder and espied the dragon, magically arisen from the dead, bearing down on them with fire in its eyes. Alerting Lady Pamela to the danger, he said to her, "Slay it again, Pam."
