Concept:
Fully automatic link winders are designed to balance machine productivity (spindle efficiency) and operator involvement (operative efficiency). Automation of package doffing, piecing, and bobbin handling improves overall efficiency.
Circular multi-count machines can indeed be integrated with link winding systems for continuous operation.
Step 1: Analyze Assertion [A].
Automation reduces manual intervention and balances efficiency factors.
\[
\text{A is true}
\]
Step 2: Analyze Reason [R].
Multi-count circular machines can be integrated with link winders.
\[
\text{R is true}
\]
Step 3: Check relationship.
Both statements are correct, but R does not directly explain A.
Step 4: Final answer selection.
\[
\boxed{\text{Both [A] and [R] are true}}
\]
Thus,
\[
\boxed{\text{Option (B) is correct.}}
\]