Updated attempts, this time slowly instead of hacking at it. Just to reiterate the last post i made, this is probably NOT what you had in mind when you said a slow cut since the cigg is not stationary at all, and if so, no worries. Thought I'd just throw it out there anyway just in case it would work as well.
First vid is kind of slow at an angle and then the other way I tried to do it from the other day. Neither cut is clean (both have tears).
https://www.youtube.com/watch?v=Q5soNJUiHzQ
Second vid is another slow with having the cigg spin across the blade, cut was clean so far as the paper, but it looks like the blade didn't reach deep enough to cut the tobacco fully.
https://www.youtube.com/watch?v=HJ_laLRHmbg
And, the last one was the same technique, with more force, which just resulted in bending the cigg right past the filter, and still didn't cut through the tobacco (big twig right there instead of a leaf).
https://www.youtube.com/watch?v=IaRe4Z44UVQ
In case this is in fact very wrong, I'm going to keep trying to do the slow angle thing, since i got most of the way through, but the very last part is so tricky! I get down to maybe 3 mm of paper left, and it tears every time :(