> "I love Connections but the basic thesis (there are hidden connections between disparate developments in science and technology)..."
Good grief, no. The basic thesis of Connections 1 was that humanity has become fatally dependent on technology (the "technology trap" he speaks of), that that dependence continues getting deeper and deeper, and it's hard to predict what technologies will emerge or where technology will take us, possibly utopia but just as likely a living hell, and finally that we don't even have the option to stop digging ourselves deeper and deeper into the technology trap because technological advancement can't be stopped because its emergence is unpredictable. Re-watch just the first and last episodes and they will terrify you.
Connections 2 and 3 were indeed scattershot because people liked Burke's charming mannerisms and didn't want to think about the ever more complex and ever more fragile panoply of technologies that individuals, even the technologists themselves, can neither understand nor control that is all that stands between humanity and its extinction.