Applied online at the end of June. It is for the Specialist SA role. Received response from recruiter the following week. She sent me an OA assessment, once I cleared it she set me up for a phone screen.
The phone screen was with an AWS SA Leader and 1 Specialist SA shadowing. They grilled on the speciality area in depth. Received rejection in few hours. The recruiter was pretty communicative. I wish all AWS recruiters are like her. I'll prepare more and give another try few months later. Don't apply to the Specialist SA roles till you have mastered that specific area required for the role.