No, they won't starve. The reason people using the older method add ammonia every time it drops to zero is that it used to be thought that the ammonia eaters would starve if they weren't fed every day.
There is an old thread on fishless cycling http://www.fishforums.net/threads/clarification-on-the-fishless-cycle.420045/ The posts by TwoTankAmin (the member who wrote the fishless cycling method on here) are very informative.
There is an old thread on fishless cycling http://www.fishforums.net/threads/clarification-on-the-fishless-cycle.420045/ The posts by TwoTankAmin (the member who wrote the fishless cycling method on here) are very informative.