The bs>1 path needs index top-k, shared-index prepare, current-index compact, and current-slot compose to consume flattened batch descriptors instead of falling back to per-request or per-segment Python/Torch work. This change wires SGLang to the new TAI batch prepare kernels, keeps fallback explicit, and records the remaining HiCache/load-backup gaps in the bs>1 workstream docs.
Constraint: CP shared-KV bs>1 must reuse fast paths rather than adding slow batch-only fallbacks
Constraint: No new collective operations were introduced
Rejected: Leave current-only cp_index as Python slice/cat | it keeps per-segment overhead in the short-extend bs>1 case
Rejected: Infer max segment lengths from CUDA descriptor tensors | .item() would add CPU synchronization on the hot path
Confidence: medium
Scope-risk: moderate
Directive: Do not remove the explicit fallback warnings without verifying the corresponding TAI symbols are present in production
Tested: local py_compile for touched SGLang files
Tested: remote g0034 test_nsa_cp_utils.py passed, 53 tests
Tested: remote g0034 test_fill_current_index_page_slots_uses_tai_kernel_when_available passed
Not-tested: full ETE bs>1 traffic with HiCache load/backup and draft/EAGLE enabled
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