Wasn't Superman # 200 (of the rebooted series, not the original one) meant to explain the soft-reboot? IIRC, it shows three Superman origins (Pre-Crisis, Byrne and Birthright) and ends with the Birthright version being asserted as the dominant timeline. Later on of course, they use Alex Luthor punching the walls of the pocket universe as the cause for a host of Post-Crisis continuity changes, including the switch from MOS to Birthright.
I love Birthright for modernizing Superman's origins while respecting and restoring Golden Age/Silver Age ideas - a template that DC has, for better or worse, followed for many other characters and arguably their entire universe since then. I think it's lasting contribution was the idea of the S symbol being a symbol of hope, which is now more or less cemented as canon across the board.
Unfortunately, Birthright was also the start of the never-ending reboot of Superman's origin that has never really stopped. In the 18 years since Birthright ended (and it ended 18 years after MOS...go figure!) we've had Secret Origins, the New 52, and whatever the current post-Reborn version is (that I guess is mostly Secret Origins?) which has also flip-flopped a bit on elements such as whether the Kent's are alive or dead and whether Clark knew the LOSH.