How can an astika school accept the Vedas without sharing the same philosophical conclusions as other astika schools?

In Indian philosophy, the term āstika refers to schools that accept the authority of the Vedas, but this allegiance does not mandate a uniform set of philosophical conclusions.12

The acceptance of Vedic authority functioned more as a framework for orthodoxy than as a rigid constraint on speculative thought. Philosophers often used the Vedas to corroborate diverse, and sometimes conflicting, views, allowing thinkers to introduce new ideas while maintaining their status within the orthodox tradition. Because the Vedas were viewed as embodying intuitive experiences of seers regarding supersensible realities, they were often treated as authoritative sources for knowledge that could not be accessed through empirical means.234

Consequently, schools like Nyāya, Vaiśeṣika, Sāṁkhya, and Vedānta developed distinct metaphysical and epistemological doctrines. For instance, while all āstika schools acknowledge the Vedas, they differ significantly on theism, the nature of the self, and the relationship between the individual and the absolute, as seen in the varying interpretations within the Vedanta school itself.153