>At first I thought I would be applying for a software developer position but after we went through my skillset, the recruiter concluded that I would better fit as an SRE.
I've got to say, I've been contacted by recruiters for Google a few times, and it has always been for SRE roles. I got the distinct impression that it's less about whether my skillset fitted being an SRE, but more that they need lots of SREs and have trouble pursuading people to take that job. I'm sure some people want to be SREs, but Google seems to want Software Engineers to become SREs.