OK the idea behind disrupts is that they are "reverse sorceries" or "limited instants" in that you can ONLY play them during an opponent's turn.
Each Disrupt has a negative effect on the opponent that they must overcome. This example is basically a 1 turn Propaganda.
The effects of a disrupt last only until a set condition has been met or at the start of the next end phase.
Several of the existing counterspells I can see becoming Disrupts Essence Scatter and its Ilk springing immediately to mind.

I find this space interesting. There doesn't seem to be many cards that have asked for 'your opponent's turn' specifically, but I can see where a lot of this is going. It's a shame that Magic nominclature won't let you expand disrupt into the sub-type so that you can end up with cards like "Disrupt - Upkeep" or "Disrupt - Declare Blockers" or even "Disrupt - Your Turn". If people could accept that idea, disrupt would have a lot more legs... not just something you play only during your opponent's turn, but something you only play during specific times in the game. There's been enough of those cards, and they'd print a lot more if it could be boiled down into three words...

Making Disrupt versions of Essence Scatter and friends have the problem that Silence already exists, is very cheap, and is virtually unplayable.