Meaning that the impeachment process isn't just to remove someone from office, but to disqualify them from holding any federal offices in the future. So there's a decent argument the trial still serves a constitutional purpose and nothing in the Constitution clearly requires that an official still be sitting to be barred from holding further office.
The wording actually allows for 3 odd circumstances:
-Impeach for impeachment's sake, do nothing with it (pointless waste of time, just censure)
-Impeach to remove from office
- Remove from office & bar from future office
Basically, those two punishments are the limitation of impeachment - but they aren't necessarily required. The constitutionality is still somewhat weird because Trump is not currently a sitting government official, and thus not subject to impeaching; however, as his charges were made while he was, we skirt around that. Except that with Leahy pushing out Roberts, like... Leahy's logic is that he's not the president right now. Well in that case, he's also not a government official right now - you can't have both.
I should say, 2/3 also require different margins; remove takes 2/3rds, bar takes a simple majority. I forgot the barring is usually contingent on removal - I'm not actually familiar if you can try just to bar someone. I would guess you technically can, by impeaching for impeachment's sake (2/3rds) and then having a second vote to bar thereafter. It's not really well-defined. This situation is retarded.
I would have played it to draw attention to things like the Times article
Careful, people might actually read more than literally just the headline if he calls attention to it.