Connecting to Kafka MSK serverless from another VPC

I'm trying to set up a connection between my EKS cluster running in its own VPC and a serverless Kafka cluster (MSK) which is running in a default VPC. I have established VPC peering, with DNS resolving options enabled both ways. DNS hostnames and DNS resolution is enabled in the corresponding VPCs as well. But DNS resolution for the Kafka endpoint (boot-xxxxx.c1.kafka-serverless.us-east-1.amazonaws.com) is not working from the EKS VPC. I checked and re-checked all possible configurations including security groups and everything but cannot find a solution. I also made sure that peering works but connecting to the actual IP address of kafka is not viable because kafka redirects to other endpoints which again are not resolvable.