Do you feel that layers of abstraction in project management and layers of abstraction in the technology being managed are the same thing?

Obviously not. Abstraction levels in projects management would go from something like: lower, “what should we name individual tasks items” to higher “what personalities are best suited for incident response handling”, or agile vs waterfall.

While technology layers would go from “who has the best transistors tech” to “should we use windows or macOS?”

Edit insertion for clarification: The compiler, framework usage, AI usage, are all tools and patterns for generating code. And they all stay neatly inside the technology, and more specifically the dimention of "creating code".

Not relevant to the topic I was responding to tho. And project management is usually way harder than coding, with or without AI. At least if you measure it by how few people are able to do each well.