The trouble with the "weak core" story is that it tends to send people down a narrow path: endless crunches, planks, and bird-dogs, done in isolation, while the actual contributing factors go unaddressed. It can also plant an unhelpful idea, that your back is inherently unstable or fragile and needs to be protected and braced. That mindset tends to make people more cautious and guarded around movement, not less, which often isn't what a recovering back actually needs.
Here's the piece that gets missed most often:
backs generally don't get resilient from isolated core exercises alone. They get resilient from being loaded, progressively and sensibly, through real movement patterns. Something like a deadlift, a squat, or a loaded hinge asks your whole system, core included, but also hips, legs, and the muscles either side of your spine, to work together under load. That's a fundamentally different stimulus to lying on the floor doing crunches, and it's often the piece missing from a "just strengthen your core" plan. If all you're doing is isolated core work, you're leaving out a huge chunk of what your spine actually needs to cope with everyday life, like lifting, carrying, twisting, bending, under real load.
A proper assessment looks at the full picture - how you move, what aggravates things, your history, your goals, and what your spine is and isn't currently being asked to tolerate, rather than jumping straight to "core weakness" as the default answer. From there, a plan can be built around what your back actually needs, which might include some targeted core work, but usually also involves progressively loading the bigger patterns your spine relies on every day.
If your
back pain hasn't budged despite months of crunches and planks, it might be time to ask a different question than "how do I strengthen my core."