Many areas of effect, like wall of fire, do damage to creatures when they enter it.
One side of the wall deals 5d8 fire damage to a creature that [...] enters the wall for the first time on a turn.
That wording seems to imply that the creature takes the damage even if it was unwilling to move there (such as if pushed by a Repelling Blast or grappled and moved there).
However, prismatic wall's wording is different :
When a creature attempts to reach into or pass through the wall, it does so one layer at a time through all the wall’s layers. As it passes or reaches through each layer, the creature must make a Dexterity saving throw or be affected by that layer’s properties as described below.
Here, the words "attempts to" are used, instead of just "enters".
So, if a creature is unwillingly moved into a prismatic wall, does it have to make the saving throw(s)?