I think the persistent effects are fine.
They are less prominent in DnD 5e because they require a lot of bookkeeping, something you don't have to do in a video game.
There are examples of persistent damage effects in dnd that do not require concentration - oil.
If it were up to me I would catapult barrels of oil in at my enemies in dnd and set them on fire. And then wait for my DM to tick off that damage for 2 turns from each enemy.
But that would take too much of our time, so I don't do that.
