It depends on what you mean by "serverless". Serverless webapps? Sure, maybe a fair bit. But the real killer feature of the Lambda service is that it's a universal extension mechanism for other AWS services. Want to run some shoddy virus scanning whenever an object is added to a bucket for compliance reasons? That's a lambda. Want to manipulate Firehose records before they are sent to the sink? That's a lambda. Want to execute some crazy Python function from an Athena SQL query? You guessed it. That's a lambda.
So when you say "It certainly hasn't made my life as a developer easier" it means you haven't needed to do these bespoke gluing together of stuff, because "being able to do this somehow" is infinitely easier than "not being able to do it at all because AWS hasn't exposed an API for this use case".