https://www.dropbox.com/s/v9d42659mmwc3cz/warptest.qst?dl=0
In this test quest, I did a little experimenting with tile and side warps. I set both of them to use the scrolling warp animation. In this case, when Link steps on a warp type combo (whether it be stairs, cave, etc.), the screen scrolls in whichever direction Link is facing when he warps to his destination. But be careful; depending on how the destination screen is set up, it can be very easy for Link to get stuck in the wall, forcing you to quit or reset.
Something weird I found with warps
Ah, I remember this.
When I first started using ZQ I didn't quite get the whole deal with warping to another map, so I tried to set a cave combo to Scrolling Warp. Needless to say, it resulted in Link getting stuck in the wall.
So this 'feature' is as old as version 1.92 at least.