in_worker() read task_join_will_block, which eventlet and gevent leave unset,
and the task's current_worker_task, which they scope to one greenlet -- so a
greenlet a task spawned in those pools still took the web-process branch and
dispatched to its own worker, where it could queue behind its parent and time
out.
The worker's own startup now records it: worker_init fires in every worker's
main process before the pool starts (where solo, threads, eventlet and gevent
run tasks, and what prefork children fork from), and worker_process_init in
each prefork child. worker_ready would be too late -- prefork children are
forked before it fires. The two existing checks stay for anything that runs
tasks without that startup.