Task killers can cause increased resource drain by stopping services needed for background functions of the device. Those services will attempt to restart, be stopped by the TK, start again, etc ad infinitum.
They also can cause sync loops in apps which are configured to autosync, such as Facebook, Weather, Gmail, etc, for similar reasons that the services are affected as described above, only worse, because as more than one syncing app attempts to grab data, they can overlap because the TK has interrupted the natural cycle, causing the app or widget to try to sync at an instant when another one (or two) is.
They were not even needed in early Android OSs because there is a simple menu path to each app/widget which can be used by a responsible device owner to kill services, clear cache and data if needed, etc.
Task killers are a bit like a trusted burglar alarm installer who has too much information about your valuables and how to get to them.