Insight in a badminton match is understanding how to get the points gathered to win. And that is being done by playing the shuttle in a way that a counterparty is not able to return it right.
Additional insights concern how to perform strokes and how to move across the court, which physical condition is needed, which mental efforts have to be used, and where to place the shuttle. Insights in own motivations are useful for a pleasurable and good play.

Badminton is played in match form. That means, one can win or lose. When playing, other qualities than winning can be valued higher, like pleasure or social contacts, but winning that match is the aim of that match itself. This aim of winning determines the way the game is being played.

Depending on the aim to win the match, is the way of how to play the game. That means, how should one play to gain enough points to win. Points are gathered by playing in a way that the counterparty is not able to hit the shuttle back right.

So, the first important insights are that the match should be won, that for that the game should be played well in a specific manner, and that that manner is, striking the shuttle in a way that it is not returnable right by the counterparty.

The next important insight is that playing badminton is a tactical game. The game is being played by looking at the places of the couterparty on court, be it a doubles play, a mixed play or a singles play. Subsequently is being sought for places to which the shuttle can be placed and which flights it therefor can be given, and that that is being done to make it the counterparty uncomfortable.
For being able to strike the shuttle well is being sought for a good position on court.

The up summarizing insights might be explained much more in detail.
A first step to a more detailed explanation as for placing the shuttle, would be that placing can tactically far from the opponents, near to their bodies, and unexpected, slow, or hard, and that this can be varied or just insisted. And further that taking the shuttle as quick as possible lets the counterparty less time. And also that playing downwards gives the couterparty less options to play the shuttle and the own party more.
For choosing positions on court, more detailed explanations would be that a stance and position should be sought that reckons with the width of the court. And also that the orientation of the game is so that the shuttle has to be placed forward into the other side and comes back from that. Further that a position should be as near to the net as possible, but reckoning with the space behind the position.

In a singles play the position and stance for playing the next shot can be fitted to the situation, but has to enable to cover the whole court and to reach the shuttle most easily.
In doubles play the position differs much more. That is because of the share of the court side. Sharing the court means that both players are responsible for the defense of the whole side. Both players estimate then from which part the partner can play the shuttle. Both take for themselves then a position from which they can defense their own part. That own position shifts across the whole court, depending on the situation.
A singles player experiences his play from about the center of his side. A doubles player experiences his play from out of the center.

A logical summary of the insights for a badminton match:
-The aim of a match is to win it.
-The aim to win the match forces it into a tactical game.
-Tactics are needed to gather points.
-Points are gained by dealing unreturnable strokes.
-Unreturnable strokes can be dealt by looking at the positions of the couterparty.
-To deal unreturnable strokes, the own positions should be advantageous for own strokes.

Some of these insights may seem very logical and simple. In practice though it is to observe that all of these insights are possibly being neglected. That's often due to the tense situation, the attention the hitting of the shuttle asks, or just not quite realizing how the game is being played. For example, the emphasis lies sometimes on playing the shuttle well back, thereby realizing points more or less being forgotten, thus the aim of winning not taken into account, and playing then ineffectively.