From looking at some details of these "logan cutters", they seem to be more orientated toward paper and card, maybe they "might" take plastic, but very thin plastic. Anything over 15thou and you might be struggling to make anything other than a scratch
these types of cutters, their blades soon loose their sharp edge, so it can work out very costly in blade replacement.
For long strips, its just as easy to use a longer metal straight edge or rule. Simply use a couple of fast clamps
on either end of the straight edge to hold all in place. For "sections" you should really be cutting with a toothed blade, rather than scoring with a knife edge, having to try and force a knife blade through a plastic section often leads to bending or deformation of the plastic section and you dont achieve a square cut through, it ends up with a rounded edge which either needs filing or re carving to clean up, so use a fine toothed saw for section. I use a small joinery jig, as used for picture frame material, its light, small and suits plastic sections and allows your saw blade to cut vertically with ease, with no risk of "wandering"
The only thing I find Irritating about having to change the blade in my knife, is. thats when I usually cut myself !! Anytime after that and I dont get even a scratch
, but just those first few hours working with a new blade.......[ha ha].