It is important to understand that a regulator holds its output voltage fixed only when it is in constant voltage mode. In current limiting, the output voltage will be reduced as required to hold the load current at the set limiting value.
This hierarchy means that a linear regulator will normally try to operate in "constant voltage" mode, where the voltage error amplifier is regulating the output voltage to a fixed value. However, this assumes that both the load current and junction temperature are below their limit threshold values.
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