As reported by @mcara at https://github.com/astropy/astropy/pull/16982#issuecomment-2379723581 , #16982 to fix backward compatibility that https://github.com/astropy/astropy/pull/16673 broke was incomplete fix. More fix is needed. `TypeError: _LevMarLSQFitter2x2.objective_function() got an unexpected keyword argument 'fit_param_indices'`