Absolutely. And Trump along with the Republican majority in the Senate better man up, thumb their noses at the democrats in the House, and approve whoever Trump chooses to replace her.
The Democrats will try to drag this out as long as possible and dirty up anybody that is nominated. That is why it is important to place a recess appointee in the position immediately. Keep the Democrats for winning crucial 4-4 split decisions out of the 9th circuit. Roberts should be the the fifth vote but I fear he is compromised.