Requirements for closed, open, and short circuits
Your question and pictures don't make a whole lot of sense. These terms do not apply to circuits in the general case.

An "open circuit" is a circuit or portion of a circuit in which there is no path for current to flow. An open switch is one in the "off" position. The impedance may not truly be infinite. But it is much higher than desired. High enough that any current flow is insignificant for practical purposes.

Generally, "closed" can refer to a switch in the "on" position, or a switching transistor when it is conducting current readily. "Closed circuit" is a special term applying to a type of video system.

A "short circuit" is usually an erroneous or unintentional connection that allows current to flow around or in parallel with the desired current path. The impedance of a short circuit is not necessarily zero, but it is generally much lower than intended, thereby causing some sort of malfunction.

Sometimes a "short circuit" may be deliberately applied for test purposes. For example, it is good to test batteries by short circuiting them to make sure that no hazardous condition arises for the end user. The test would be done with precautions in place to avoid injury and property damage. It is not something people should do if they are unfamiliar with the dangers.