Choosing larger tolerances when the nonlinear solver doesn’t converge is in general not a good idea, unless the default tolerances were super small (which is not the case). In doing so, you may be able to trick the code into saying “the nonlinear solver” has converged, but the reality remains that the solution you computed may still be bad, since the final residual is large (or, at the very least, not really small).
See Default absolute tolerance and relative tolerance for more comments.