This is not true - other circuit courts are free to set their own, conflicting precedent. Each circuit's decisions are binding only on its own judges, and suggestive but not binding on other circuits.
Circuits deciding differently (a "circuit split") is uncommon, and considered urgent grounds for the Supreme Court to take up a test case to resolve the ambiguity; but it's not considered a "breaking" of precedent by either circuit, just a difference of interpretation for the Supreme Court to resolve