I actually wasn't aware of how cool ECR's pull-through caching ability was until quite recently.
I was generally aware that it was a neat way to save on egress costs and speeding up build times, but what I did not know was that, once your cache is first seeded, ECR will look for updates to that tag every 24 hours. Nothing needs to be done on your end. The tag simply gets updated in the cache, and your workloads can pull from it entirely over the AWS network (e.g., using an ECR VPC endpoint).
Man, you gotta love when AWS really does make it simple.