Ask HN: Solutions Architects were you promoted into that role or hired directly?

I am curious because I'm running into some minor push back where the company tells the recruiter "no we are looking for a Solutions Architect, this guy has a Software Engineering resume"... but I figure many Solutions Architects started in that role. Working at smaller companies you tend to do the same work as a SA anyways even though your title is engineer... anyone have experience with this? I have 12+ years of experience full-stack and working directly with stakeholders/clients/execs to plan/build/deploy/maintain... what am I missing?