But if I am looking at, say, five or six centers on the TL, in order to remember the 5 or 6 teams that are selling them I would likely need a method of bookmarking those teams (again requiring supporter). Otherwise I would have to send messages to myself (and I have yet to see if I can even do this) with the team name copied/pasted.
I think my suggestion was more along the lines of being able to track a player you have bid on even after his transfer deadline has passed, rather than having him disappear from the bids page altogether.