I wonder if it's still that way. At Meta it is not, you need to go through an interview loop to move from Production Engineering to SWE (even though the culture at Meta makes PE far more similar to SWE than SRE is to SWE). I bet the reasoning is the same: they don't want to make it easy for folks to move from PE to SWE.
I’ve had someone unironically tell me SREs are just people who are too dumb to be SWE so there’s probably more to the gatekeeping than just on-call lol