Well the meaning of the cut scene is ultimately determined from the one making the game, Obviously. Usually one that is meaningful can show you anything from in depth character personalities to Plot twists.

Back in the day, there were many games that you played either had no cut scenes or completely CG that looked nothing like the game, so that the graphics would "wow" you and nothing more. No solid information on the story or characters. This is how cut scenes really got their bad wrap.

As for the player. You decide what's meaning full in the long run. You decide whether you want to view the content or not.