I agree, and I get offended when people make that assumption. I tried for three months to co-sleep with DS until we realized that he didn't like to be touched while falling asleep. We started putting him in his crib (next to our bed) and he was quite happy. He never once cried himself to sleep or had to be "trained." Pretty much from day one he preferred to fall asleep on his own. We still breastfed every two hours all day and night, I would simply lift him out of his crib and nurse him, then put him back. We had a great nursing relationship for two years, so it never interfered with nursing. He was and still is attached, affectionate, and happy.
it is still considered co-sleeping if the baby or child sleeps in the same room with you. they dont actually have to be in the same bed as you. your bed,crib,moses basket, bassinet in the same room. whatever it takes to get quality sleep for you and baby when you are still being woken up for night time feedings.