I'll be answering my own question to provide bread crumbs for the next person who hits this:
Problem
x86Linux Maven build fails during flexmojos-maven-plugin with
load-config+=...flex-config.xml -static-link-runtime-shared-libraries...
-metadata.language+=en_US
[INFO] Loading configuration file .../flex-config.xml
# There is insufficient memory for the Java Runtime Environment to continue.
# Native memory allocation (malloc) failed to allocate 37064 bytes for Chunk::new
[ERROR] OutOfMemoryError -> [Help 1]