Yea, If the line wasn't broke the torch should follow the path just fine.
It's all those broken lines that Corel is trying to close, that is messing with your files.
If 2 line ends cross each other, that is still an open vector, like in the screenshot from my last post (upper left green circle).
That same screenshot shows a small group of stray vector lines, that would create a mess while cutting with a torch, not to mention for every little open vector line (remember I zoomed in 1500%) the torch would keep stricking arcs. With those lines being so small/short it might look like something is wrong with your torch (on/off, etc..).