That barrel will thread on and headspace on an AE, AW, AX, AT, or any AI with an M27 thread as the tenon is fully threaded all the way to the shoulder.
The only AE barrels that are AE specific are the barrels with partially threaded tenons where there is a short unthreaded portion near the shoulder where the AE recoil lug would be. AI shipped AEs with both partially and fully threaded tenon barrels; the partial thread barrels will fit AEs only while the full thread tenon barrels will fit any short action AI with an M27 thread.
I still have a 308 barrel with a fully threaded tenon from one of my AE Mk3's that I've used in an AW, AT, and AX308... No issues.
The only thing on that barrel that's a bit odd is the circumferential groove around the chamber on the breech face... I've never seen any AI barrel with that groove, all my AI barrels from the AE days and newer have flat breech faces with a slight chamfer at the edge of the chamber.