After _push_allowed was relaxed, the cost model correctly chose push
for high-cache sessions on overloaded instances. But a second gate at
execution time (push_new < heavy_threshold) blocked the actual offload,
downgrading to LOCAL on the target instance — which had no cache.
Worse, session affinity was already updated to the target, so all
subsequent turns also hit cold prefill.
This was the root cause of relaxed gate's performance regression:
affinity broken + push blocked = worst of both worlds.
Co-Authored-By: Claude Opus 4.6 (1M context) <noreply@anthropic.com>