Certainly no mathematician has published such a claim and even Lagrange in his famous paper Reflections on the resolution of algebraic equations says he will return to the question of the solution of the quintic and, clearly, he still hoped to solve it by radicals.
Totoong walang dalubbilang ay nai-publish na tulad ng mga kahilingan at kahit Lagrange sa kanyang tanyag na papel sa Reflections ang resolution ng algebraic equation nagsasabing siya ay bumalik sa katanungan ng mga solusyon ng quintic at, malinaw, siya pa rin inaasam na malutas ito sa pamamagitan ng radicals.