If he did the thing you ask, he would just be 'grandstanding' on something he has no vote to bring forward, which your statement would appear to damn him for.
>"supports impeachment and conviction"
As it stands now, Rand has no vote on any impeachment conviction and no ability to bring one, so I don't see the point in asterisking on the "and conviction" as it doesn't change the situation beyond shoehorning a connived reason in to blame Rand for not making a public statement on the non-existent impeachment.
But I don't for a second believe that the Democratic Party would cooperate with "their" person being impeached now either, except if it was politically advantageous for them (for instance, to remove an unpopular Democrat for an embarrassing misstep when there was a popular VP ready to go). No way would they impeach for crimes of overstepping presidential authority to do something the President from The West Wing would be proud of, for instance.