Can the g factor play a role in artificial general intelligence research?

In recent years, a trend in AI research has started to pursue human-level, general artificial intelligence (AGI). Although the AGI framework is characterized by different viewpoints on what intelligence is and on how to implement it in artificial systems, it conceptualizes intelligence as flexible, general-purposed, and capable of self-adapting to different contexts and tasks. Two questions remain open: a) should AGI projects simulate the biological, neural, and cognitive mechanisms realising the human intelligent behaviour? and b) what is the relationship, if any, between the concept of general intelligence adopted by AGI and that adopted by psychometricians, i.e., the g factor? In this paper, we address these questions and invite researchers in AI to open a discussion on the theoretical conceptions and practical purposes of the AGI approach.