That is not what the constitution says. That is also not what your linked article(s) say. CONgress doesn't have any oversight over a Presidential pardon, nor does a President have to listen to a DOJ recommendation. The courts do not either. The only thing CONgress can try to do is limit money that could be needed to research for a pardon. POTUS can still pardon for anything Federal - except impeachment. It's black and white. The only way to change it would be a Constitutional Amendment. The Senate has zero authority in the pardon process.