Whenever I've needed AWS support it was just as aweful as GCP. For example, 12 hour Aurora outage, support was only replying a generic "waiting for engineering team" answer, SLA only refund about $15 although we ended up paying for all the replicas we tried to spin up from backups and wouldn't start. Architect and account manager didn't give a damn about our issue.
Or, if you purchase consulting hours from any of the major firms, get ahold of their sales team and have them run the ladder for you. A GTM partner is generally more than happy to leverage their firm's relationship with the public cloud providers in the service of their relationship with you.