With Fargate you have containers running all the time, and you pay for that....from what I've seen of Cloud Run, you just pay when you're actually serving requests

With Cloud Run you're only paying for resources used, and with Cloud Run on GKE you're paying for the underlying cluster [1]. This also gives you the flexibility to optimize costs by shifting workloads between the two if desired.

[1] https://cloud.google.com/run/pricing

Closer to Lambda from a lifecycle perspective, because your code runs only when there’s a request (and you’re billed only during requests).

But also Closer to Fargate from a programming paradigm perspective, as the deployment unit is “container image”.

Definitely seems like it.