I was expecting the "Adr: 0x57A8" part of those decodes wouldn't mean anything to you, so you would want some help with translation. I didn't understand it myself until I compared it to the picture.
It means the same thing as "Device=168" in MakeHex. You would use that in the Pioneer.irp file to get Pronto Hex.
Most vendors would document that as "Custom Code A8" or "Custom Code A857", not as "57A8. NEC standard documents bits within each byte in the opposite sequence from that in which they are transmitted. But it does not document the Custom Code bytes in the opposite of transmit sequence. In that signal the A8 is sent first, followed by the 57, (followed by 08 then F7). That capture tool you found documents the A8, 57 in the opposite of transmit sequence.
I forget how Pioneer protocol is encoded for an AX4000. I'm pretty sure it was one of the ones I documented when I did a big post on AX4000 signal encoding a long time ago.