Alvin was crossing his legs and watching the shareholders who were edgy yet reluctant to support him without knowing what he was up to.
Alvin wasn't going to reveal his plan. If it falls on Casper's ear, Casper could go to any extent. Alvin wouldn't take the risk when Anya and Zane were in the hospital.
Without Casper in the meeting, Alvin could have managed without the majority support of the shareholders. However, he just didn't want to leave a loophole.
They had done their research on the shareholders of the Matthews Industries as soon as Alvin started to buy the shares and plotted the plan. He slowed down due to Anya's mission and her plan for the Dean position. Then Liam put up a request so Alvin changed the plan.
Now that Alvin failed to get the Dean position for Anya and Liam turned out to be an emotional fool, their research came in handy.