One of lambda's ideal use cases is personal projects. Personal projects usually serve very few requests so lambda's ability to scale to zero results in cost savings.
I totally believe you, I just can't see how it becomes easier than chucking a container on Fargate or something. Maybe I've just been scarred by lambda rat's nests in the past.
Yeah, the "proper" way to do Lambdas, shown in so many fancy architecture diagrams, is a rat's nest. I don't like APIs on Lambda unless you can shove them into one container with a catchall proxy on API Gateway. They really shine if you're processing SQS messages or EventBridge events. If you aren't using other AWS services and aren't cost engineering, then Lambdas probably aren't worth the headache.