It's core purpose is to contain or release whomever the WARDEN deems worthy of either.
HOW the WARDEN determines either is completely up to the WARDEN. If the creator of the Well wanted to put limitations on future WARDENs, then there would be some kind of manual. Since DR hasn't limited Harry, we can assume that DR will only answer questions as they are proposed, thus no overarching instructions to teach future WARDENs.