This seems like and aweful lot of trouble just for a burning fuse. You should try to do everything in AE. You don’t have to use the stroke effect. If it’s just a simple project you can use a solid layer for the fuse. If your comp size is 720 x 480, I would suggest a solid layer of 600 x 10, or something like that. You can even throw a rope texture on it if you want.
Then just animate your mask shape to make it disapear as it burns.
Then you just import your footage and place it underneath your animation, and that way you can adjust the duration of your fuse to match your video.
I hope this helps. Sorry if I may have left out a few important details. This is my first post.
-Josh