The Alpine Linux is also based on musl library so you may try to download the OpenJDK from their repository.Here is a sample how to install OpenJDK 8 to Turris Omnia routerhttps://gist.github.com/stokito/7dd425da5a12abce8b39dda1bd1106d7
The Zulu OpenJDK have Alpine builds for x86_64 and armv8 64
The Eclipse Temurin (AdoptOpenJDK) doesn't have yet Alpine builds