My primary objections to SS are the injury potential of low bar squats and deadlifts. Rippetoe can repeat "just do them properly and you won't get injured" until he is blue in the face, it doesn't mean people will be able to actually do that. SS is a popular enough program that I get to see lots of newbies doing it at the gym, and most do not do low bar squats correctly. Lumbar spine injuries can be serious. For someone interested in health and not maximal performance it is not worth the risk.

no upper pulls

Doesn't the 3rd edition of SS make chin-ups non optional?