Faster? I really want to know how you can have servers, with all the required networking, and all the associated and easily accessible redundancy ( multi-DC or multi region) faster than a few clicks and max 5 minutes wait time. Not to mention the managed services, how long does it take even for an experienced SRE, to setup a production-ready (with backups, monitoring, HA, etc.) RabbitMQ/database/whatever cluster?

AWS is much easier to use than a DIY infrastructure, unless significant resources are invested in that DIY infrastructure.