So the net result, either way, is that frum yidden are legally prohibited to work. Either because they are exempted with torato umanato or because they weren’t exempted altogether.
Rav Eliashev’s gabbai Rav Eisenstein specifically relayed the psak b’shem Rav Eliashev. (He did so long before Rav Eliashev was niftar and it was never challanged.)