David Webb
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Your diagram shows how a capacitor behaves when it charges from a low impedance, but can only discharge through a high impedance. As a result, it maintains its charge during idle gaps.
On the other hand, if it had a path to ground, then it will drop to zero as soon as the input goes low.
The right-hand circuit has a diode. The capacitor can only discharge slowly. This would be the situation in your diagram.
What simulator is this ?