When you think about it, the word "webcam" has never made sense. Yes, you can conduct a video chat through your browser using tools like Google Talk, but for the most part, people have always conducted video chats through standalone applications such as Skype, ooVoo and FaceTime.
A camera that’s designed for chats should be called a "connected camera" or a "video-conferencing cam" but not a webcam. Or just call it camera. It’s not like the camera doesn’t work when you’re not online.