Indeed, Abstract Interpretation is powerful and beautiful as heck. Type Systems can be seen as just a special case of general Abstract Interpretation, where the types are the abstract values computed from each expression. The problem is that it requires ingenuity to devise abstract value systems that don't degrade into useless generality as unknown branches in the code 'execute'. Even types only succeed as much as they do because they require extensive and invasive (language-design-changing as well as program-changing) cooperation from both the language designer(s)\implementer(s), as well as the language developer(s), without this cooperation you will leave open very wide gaps. Symbolic Execution is another much much more powerful technique but, predictably, also very inefficient in general.

My way of looking at this is just frustration at the misallocation of resources. Dynamic programs already have tons of typing information available, just not in the right time and place. Your brain spends an aweful lot of time "executing" the code of a dynamic language while it's writing the code, just like the language runtime only far more slowly and with a sky high probability of error. So all what I'm saying is, why this immense suffering, when the information that your brain is in dire need of is already right there in the interpreter's data structures, just in opaque and execution-temporary forms ? It strikes me as incredibly obvious to try to bring in those typing information from the runtime into persistent transparent records available at dev-time.

Abstract Interpretation or Symbolic Executation are (fancy) tools in programming language theory's toolbox that can help us, but the simplest possible thing to try first is to make use of the already-available information that are just lying around elsewhere. To make a somewhat forced analogy : if we have a food crisis at hand, we could try fancy solutions like genetic engineering of super crops or hydroponic farming, but the dumbest possible solution to try first would be to simply bring in food from other places where its plentiful. Typing info in dynamic languages is very plentiful, it's just not there when we need it.