I have not tried this folder base, but was in the print Finishing Industry for half my life, and there might be a couple of things you can try to prevent shiny stock cracking.
First you could use various thin papers from loo paper to tissue paper found around gifts to thin sheet paper, to stop what you are doing from either getting pushed through into the crease and cutting it that way, or to stop any damage to the crease either side from the angled edges of the board.
These are alternatives and not meant to be done on every crease make on the wood or whatever it is made from . . .
I have not seen this product and it may already have this but if the grooves are all the same depth or width, and you are finding it damages a particular item you like to work on, you can choose either a line or groove you do not use much and with very fine sandpaper, or a nail file round the outer edges, and maybe lay a cotton thread or two lengthwise sticking the ends of it on the back of the board permanently or with sticky tape to make the crease made less sharp. Or, if you cannot find any paper thin enough, use some foil or Cling-Film, again laying it in one or more thickness' and sticking the sides down onto the board so it is smooth.
Hope this helps any one with creasing card or paper which is especially delicate. You may find taking the edge or tip off the bone 'pusher' will work as well.