Critique the historical and textual validity of the following systemic claims regarding the doctrine of 'Basic Structure':
1. The terminology was formally embedded into the primary text of the Constitution via the 44th Constitutional Amendment Act.
2. The protective scope of the doctrine is completely inapplicable to any legislation deposited within the Ninth Schedule.
3. The judicial application of the doctrine operates retroactively, nullifying all unconstitutional amendments enacted since 1950.
4. The jurisprudential principle is entirely unique to India, remaining unrecognized by any other international sovereign state.