That fitting is for ptfe (teflon) lined hose. You want the "full flow" hose ends.
Just an aside, ive gone to push lock or just plain barbs. The braided stuff is really expensive and/or you'll be permeating power steering/oil/atf/fuel out of it within a year or 2. Ask me how i know. The gates fuel and oil line is available at napa and is really good stuff for a lot less than the nice braided stuff that won't leak fluids all over. Power steering you'll want to use the ptfe stsinless braid with the ends you have pictured here.
We'll call what you have "non-standard" ptfe. Attached is a pic of what that hose end is made for. The brass bushing goes between the braid and the teflon. Unless that is how your hose is designed, you'll need the full flow version.