  The present paper is concerned with the stationary workload of queues with
heavy-tailed (regularly varying) characteristics. We adopt a transform
perspective to illuminate a close connection between the tail asymptotics and
heavy-traffic limit in infinite-variance scenarios. This serves as a tribute to
some of the pioneering results of J.W. Cohen in this domain. We specifically
demonstrate that reduced-load equivalence properties established for the tail
asymptotics of the workload naturally extend to the heavy-traffic limit.
