Whether you're for or against calling witnesses, it's worth noting that this principle described by Rubio was not followed during the Clinton impeachment. The Senate took videotaped testimony from Lewinsky, Jordan and Blumenthal, none of whom testified to the House.
Just asked Sen Rubio if he‘d vote to subpoena Bolton. “I wouldn’t because..I believe you should be constrained by the information that those articles are based on..if the House wants to start a new impeachment inquiry or..add additional elements to it that’s their choice to make”