Pure Lab vs 2x Evenly Matched

At 2:20, opponent misplays by shuffles back my Cooclock from GY, allowing me to search it again with Arianna to use Daruma cannon in battle phase. However, if they had not, I could still get Cooclock via: Big Welcome Arianna returning Arias, search Chandra, Chandra effect discarding Arias, Cooclock triggers and returns to hand. It just would have put me down 1 card.