On that second clip watch the plunger from the 0:20 mark. For "some strange reason", at the 0:25 mark during the first trick, the tiny plunger suddenly jumps "on its own". I doubt a vacuum because the suction cup and the rubber would interfere with the jump by adhesion and by colloidal friction. Like trying to slide a rubber eraser. And a vacuum in a porous table would draw the air from the suction cup, limiting its ability to jump like that. It would depress the cup, literally and visually. But a static field would break the adhesion and draw the plunger without depressing the cup by vacuum.
In the second video, right at the 1:11 mark, as he is saying "it won't pick up all the cards...", he goes for the stack of cards, but tilts his hand and the stack falls apart. A vacuum might break given the force of the tilt. But a static adhesion definitely will, and the 'looseness' of the stack as the cards fall away doesn't feel like a vacuum to me.
The way the cards slide apart is not like a vacuum. It feels like a static effect.
In both videos, he is placing the tiny plunger in the same area on the table, and does so before making each and every move. Like a static charge cycle. Even when he gives the plunger to someone else, he Always takes it back and places it on the table in that area before using it on the cards. Every Time.
Something else. The {&T video, the magic number is 15. In the second video, the number is 16. I believe the number is given to the respondent in advance, as a ringer. The card is pre-selected because it is a stopper card.