Are Shopify themes ADA compliant out of the box?
Partially. Major Shopify themes ship in reasonable accessibility shape, but no store runs out of the box. Apps inject markup, merchants add sections, and theme updates change templates, and each of those can introduce failures the theme vendor never shipped. Conformance is a property of your specific store today, not of the theme you bought, which is why it needs monitoring rather than assumption.
What theme vendors actually promise
Theme developers generally build against WCAG guidelines and the better ones test with assistive technology. But their responsibility ends at the demo store. The moment you install a reviews app, a subscription widget, or an upsell tool, third-party markup renders inside the theme, and the combined result is what a screen reader user experiences and what a plaintiff tests.
Where out-of-the-box conformance dies
The usual suspects: apps that render UI without labels or focus management, customizer edits that break heading order, and theme updates that refactor templates and drop your accessibility fixes. None of these announce themselves. The store looks identical to a sighted mouse user while failing for the customers and testers who navigate differently.
The practical answer
Treat the theme as a starting point, not a shield. Monitor the live store, attribute every failure to the theme file or app responsible, and verify each fix by rescan. That converts an assumption nobody can prove into a dated record nobody can argue with.