Yes,a splitter with a stationary blade is for heavier ,thicker stiff leather,if you want to split thin soft leather you need band knife splitter,they are somewhat like a bandsaw & very expensive.They come in widths 12" & wider & of course the wider it is the more it costs,a 24" machine is approx. $16,000 new,used ones are hard to find but at least 1/2 the price.
Here's some info on a used one;http://www.dgxiangdi.com/product-detail-used_camoga_c520r_band_knife_leather_splitting_machine-259.html