Well, I think it's less of a disconnect than a difference in priority. SRE's first priority is "stop the bleeding" -- take whatever immediate action you can to stop users from being hurt. That might mean rolling back the binary, reverting a data push, draining away from a broken cell, whatever. When you're serving thousands or millions of QPS, time is of the essence.
That being said, SRE does want to ultimately fix the problem (otherwise it's just going to page again, right?). But if that means tracking down a wrong config flag, cherry-picking a fix into a new release, etc. -- those are all things that can be done AFTER the bleeding is stopped.
Source: I'm an SRE