Blue Anodized Aluminum Adapter (AN 832), -04 Male JIC 37 deg Flare To -04 Male JIC 37 deg Flare, Straight Bulkhead

Both ends on this adapter are -04 male JIC 37 degree flare, so yes, that matches up exactly with what you're describing. The straight bulkhead design means it's built to mount through a panel and hold position, which is what separates it from a standard inline adapter. Eaton Aeroquip makes this one, so the machining tolerances are solid and the flare seats should give you a clean, leak-resistant connection on both sides.

For a straight bulkhead pass-through, this one matches that setup. It has -04 male JIC 37 degree flare on both ends, so it’s meant to connect two -04 JIC female flare ends through a bulkhead panel.