Press with a ball-side overload. Slide across as a unit to overload the ball side, deny the safe pass, dare the long switch, and win it where you have the numbers.
With the opponent on one side, the team slides across to overload the ball side and press. Leave the far-side player, whose only pass is a long risky switch, and win the ball on the strong side. Emphasise sliding as a unit, staying compact, and pressing where the numbers are. If they switch, slide across again to press the far side. Rotate the roles.
Sliding the whole team to one side deliberately concedes the far side, and pretending otherwise is how the concept gets taught badly. It is a bet, and the bet is that a long switch takes longer to travel than the team takes to shuffle across. Against opponents who cannot strike a forty-yard ball accurately, it is close to a free win. Against those who can, it is genuinely dangerous, and players should be told which situation they are in.
What the overload buys is numbers where the ball is. Pressing with three against two, or four against three, means a presser can commit hard because there is cover behind him, and a mistake by the carrier is punished immediately. Pressing with equal numbers means everybody has to be cautious and nobody actually wins the ball.
The execution detail that decides it is the far-side player's discipline. The winger or full-back on the opposite flank has to tuck in rather than mark his direct opponent, which feels wrong to him because he can see the man he is supposedly responsible for standing alone in space. That tuck is what creates the overload; without it the team is simply spread out.
When the switch does come, the response is not panic but a coordinated slide, with the far-side player delaying rather than diving in. He is buying the two seconds it takes for everyone else to arrive.
Coach the ball as the reference point, not the opponent. Players slide relative to where the ball is, always.
Save it to your private drills, then change the animation, adjust positions, swap equipment, or drop it into a session block. Or start from a blank pitch and build your own.