Injecting UserTransaction with @Resource into session scope bean causes replication failure

Issue

We see HTTP session replication errors from our application, which injects @UserTransction into a CDI Interceptor using @Resource

Caused by: org.infinispan.marshall.NotSerializableException: org.jboss.tm.usertx.client.ServerVMClientUserTransaction
Caused by: an exception which occurred:
    in field utx
    in field instance
    in field c
    in field dependentInstances
    in field creationalContext
    in object java.util.HashMap@d086bcfc
    in object org.jboss.as.clustering.SimpleMarshalledValue@d086bcfc
    in object org.infinispan.atomic.PutOperation@d086c83f
    in object java.util.LinkedList@b5a0badb
    in object org.infinispan.atomic.AtomicHashMapDelta@4d3b8933
    in object org.infinispan.commands.write.PutKeyValueCommand@8f440757
    in object org.infinispan.commands.tx.PrepareCommand@ea2d1967