I think you are missing what fans call for when a season is winding down, which is for coaching staff to choose not to use players to their best level in order to lose games for a better draft position. This is also called "tanking".
In all honesty, I have no problem with a FO building a cheap team to clear the decks for rebuilding through good draft positions. When they do that kind of thing, it is pretty clear what the purpose is, and as long as the team as constituted plays hard and the coaching staff uses them well I think they will be supported by a fanbase. What I have a problem with is choosing to set up a team for failure when they could clearly play better - I think ultimately that is cheating the fans who bought tickets to the games being dumped and engenders resentment on the part of the fanbase - particularly when (as is often the case) the gamble really doesn't produce a superior player in the draft.