I like this analogy. Both GenRel and QM are well beyond our experience, and although there is some intuition that comes from working with the equations over time, it is bizarre and "just calculate" often gets the correct answer faster.

Picking the right tool or model is like picking the right problem to work on. It's actually quite hard (often you can't just try them all), but without it you will be incredibly inefficient and occasionally, fundamentally wrong.

All models are wrong, but some are useful. -Box