Cosmos,
What you've tested is Anchor's lightest resist. SB resists come in lots of thicknesses supported by different adhesives. Blasting on glass isn't nearly as demanding as stone or wood. Wood is much tougher than stone. What you cut was the lightest. It's made for hand cutting. If you check Anchor's list of products I think you'll see lots of options. I think they offer about thirty different types.
Another excellent resist is Hartco. It's a little tougher material to cut but stands up to blasting much better. It's a heart break to go to all the work for blasting and have it fail. That's the norm when getting into this business.
I'm sure your knife will cut mask of this type but it may take several passes. I like lots of passes since it guarantee's a complete cut.
http://www.hartcoservice.com/sandmask