To have intelligence you have to process information, the question is when does processing information turn into intelligence.

Information processing might be part of intelligence cycle. I don't think there should be a presumption that intelligence is part of information processing system itself, it could be outside the information processing system as well.

For example computers have been processing information for decades now, but only recently they have been almost-successfully accused of having (artificial) intelligence.

Intelligence was applied while writing the programs which process information (outside or before system even boots up), not while executing those programs.

Its only now with LLMs (and agents based on LLMs) we are noticing that systems can do intent extraction, intent management, and ReAct to it.