It's not like we are any closer to resolving the measurement problem today. I wouldn't be quick to dismiss Wheeler, all alternative theories for this problem are radical or "unattractive".
Except that Wheeler got a LOT of things right, and this was in his wheelhouse. And he wasn't making a statement of fact on this, merely expressing his confusion that it wasn't making sense (yet).
And then he died before he could figure it out. All we have left are little strands of his thoughts.