[rrherr]

Looks like Chapter 15 in the Causal Inference Book agrees with you:

“Outcome regression and various versions of propensity score analyses are the most commonly used parametric methods for causal inference. You may rightly wonder why it took us so long to include a chapter that discusses these methods. So far we have described IP weighting, the g-formula, and g-estimation–the g-methods. Presenting the most commonly used methods after the least commonly used ones seems an odd choice on our part. Why didn’t we start with the simpler and widely used methods based on outcome regression and propensity scores? Because these methods do not work in general. More precisely, the simpler outcome regression and propensity score methods–as described in a zillion publications that this chapter cannot possibly summarize–work fine in simpler settings, but these methods are not designed to handle the complexities associated with causal inference for time-varying treatments.”