The phrase means accepting all aspects of something, including negatives and imperfections. When getting to know a culture, it's important to see it, warts and all.
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Colloquial Origins
Originally from Oliver Cromwell's request to be painted realistically, it's now a widely used informal term. The biography depicted the leader, warts and all, without idealization.
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For Acceptance
Primarily used when expressing unconditional acceptance of someone despite their faults. She decided to accept her partner, warts and all.