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With a PLA there are internal feedback loops, so you don’t have to use up an output and input pin for each bit of state. This also reduces current draw since no pin drivers are required. PALs are a bit more complicated. There are a vast (large anyways) number of PALs. To get the logic you require, you go find the one that best suits your application. This includes feedback to support stateful operation if required.
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PLA is programmable logic array while PAL is Programmable Array Logic.
PLA is a kind of programmable logic device used to implement combinational logic circuit. It has Programmable AND Gate linked with Programmable OR Gate.

PAL is an combinational PLD that was developed to overcome certain disadvantage of PLA. PLA shows longer delay due to additional fusible links which results from using two programmable array and increase circuit complexity. Thus, PAL is used which is less complex and fast to implement. PAL consists of programmable AND linked with fixed OR.

A programmable read-only memory (PROM) or field programmable read-only memory (FPROM) or one-time programmable non-volatile memory (OTP NVM) is a form of digital memory where the setting of each bit is locked by a fuse or antifuse. They are a type of ROM (read-only memory) meaning the data in them is permanent and cannot be changed.

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