### What this PR does / why we need it?
This is to prepare for the migration to vLLM's `EagleProposer`, it does
not have `name` attribution. Also it's a breakdown of #5100 .
Introduces logic to determine whether eagle3 heads require auxiliary
hidden states based on configuration, ensuring consistent handling
across related components. Prevents incorrect assumptions for eagle3
variants that do not use auxiliary outputs, improving compatibility and
correctness.
### Does this PR introduce _any_ user-facing change?
None.
### How was this patch tested?
None.
- vLLM version: v0.12.0
- vLLM main:
ad32e3e19c
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Signed-off-by: Yizhou Liu <liu_yizhou@outlook.com>
60d9398f6d