Just the opposite.
"Impeachment" means an adjudicated charge, in this case a CHARGE of Treason, Bribery, or other high Crimes and Misdemeanors. The impeachment process is akin to a grand jury process - both amalgamate CHARGES. The Senate tries the one charged. The Senate does NOT REMOVE the charges, only decides whether the target is guilty or innocent of those charges. The impeachment, as with Bill Clinton's, remains.
Your approach RATIFIES the House Impeachment process and charge, regardless of Senate results, which is what Pelosi was talking about. The Senate can rule Trump innocent but the impeachment (charge) is not erased.
My argument is the House impeachment process was unconstitutional, illegal, and thus, invalid. My argument is the impeachment itself should be thrown out for the reason I previously gave.
All true, but useless in this discussion. Make the Constitutional and Academic argument and you will lose. People and the media could care less about any of this, if you doubt me, look at how easily the public and the media have been bought into the lies of the Democrat House.
A dismissal will be an engraved invitation to another impeachment. The Senate must find him not guilty and then the voters must punish the Democrats for their foolish behavior. Going wobbly on this either through your argument or the argument that Trump was wrong but his misbehavior did not rise to the level of impeachment is what the Never Trumpers are advocating. That is the way to lose the 2020 election across the board.