The Myth of Core Stability

Abs-solutely! I’ve had personal experience with deep squats with good form eliminating back pain.

To add to your tight hip-flexors note: doing core work in this case can add to the pain. A lot of times there are hyper-tonicity issues with the hipflexors (elliptical machines are notorious for causing this). If that’s the case ART or a knowledgeable physio or massage can help. Doing more core work will just exacerbate the problem.