g_thread_pool_push() only returns an error if it fails to spawn a new
thread. However, it unconditionally adds the task to its worker queue,
so:
 • if _any_ threads exist in the pool, the task will eventually be
   handled; and
 • if _no_ threads exist in the pool, the task will be handled if one
   is eventually successfully spawned.
If no more threads are ever spawned, the process probably has bigger
problems than a single GTask which is taking forever to complete.

https://bugzilla.gnome.org/show_bug.cgi?id=736806