I've already explained this then. If you're purely talking about the water inside the bottle at any time, it is not unlimited, because it is always limited to, as you put it, 20 liters. This is the scenario I'm talking about, as it is limited yet always rising to this limit, making infinite a better term.
What you're talking about is the source of the water, in which case yes, the bottle can be refilled an unlimited amount of times, but then it is also correct to say it can be refilled an infinite amount of times, because even if we use your wording, the amount of times the bottle can be refilled cannot be measured as it will never stop being refilled.
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