I tend to believe that if the set of pre-written inter-pluggable primitives ever actually becomes rich enough to do all the stuff we "program" to achieve, all we'll have really done is just made a new programming language;
I think that was one of the lessons of the 4GL (forth generation language) movement. Any toolkit sufficiently expressive to cover all of the client's business cases inevitably needed the full set of control flow statements. It quickly ceased being something just anyone could use and turned into something that required a programmer.
What makes programming programming is not the units we work with - bits and bytes vs. complex objects. Rather it is the logic that binds them together into something useful. Once that logic begins to include conditionals, loops and the need to organize collection of data and functionality into discrete loosely coupled sub-systems or objects, it requires, as you say, "the same skill set as 'paleoprogramming'".