A stream where the streamer is writing down the names of their donors can be described as a donation recognition or acknowledgment stream. In this type of stream, the streamer takes the time to recognize and thank those who have contributed financially to their channel. As viewers donate, their name or username is added to a list or displayed on the screen, often accompanied by a message of thanks from the streamer. This type of stream can help foster a sense of community and appreciation between the streamer and their viewers, and can encourage continued support from viewers who enjoy the content being produced.