To borrow your analogy using a jigsaw puzzle foxie48, it is not always necessary to put "all the straight edged pieces together first" but you do need to be aware of the need to do that.
What is absolutely necessary is the ability to see the whole of the picture; where pieces obviously group together, where one task of assembly prompts the ability to see how to do another bigger part and to recognise your limits on time, ability etc.
Good puzzlers are not necessarily rich or loud but they do, as your post suggested have stamina, intelligence, and knowledge about the important small and simple tasks as well as the bigger ones. Those are the hard working people we need.
Should I Marry a Murderer - Netflix

