You mention that serverless.com offers a sort of PaaS that simplifies your life. That's similar to Heroku, which does the same thing but with regular servers and similarly allows you to defer having a dedicated Ops person. Having worked at plenty of places that leveraged PaaS's for most of their needs, I'd say it's normal to not have an Ops team until you begin hitting issues around general maintenance and secure networking setups.
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We don't have an operations team, so each dev deploys their own services; this framework gives them all a consistent interface so we know how to test or deploy someone else's code.
Advantages from my POV:
If a certain game spikes in popularity then it COULD become expensive - but IMO that's better default behavior than a server falling over.