Duplicate links is the problem we can live with. But disappearing a "Rebuild" link is really annoying - if you have a pipeline job with multiple parameters that used by many users, you need to type your parameters each time you build your job. It is over 6 month not touched, I'd suggest to raise the priority of this bug and try to fix it if possible.
Seems it relates to JENKINS-39467 also - we get exception when trying to use /rebuild/parameterized link manually:
java.lang.AbstractMethodError: you must override the new overload of isApplicable in hudson.plugins.project_inheritance.projects.rebuild.RebuildValidatorSuppressor
at com.sonyericsson.rebuild.RebuildValidator.isApplicable(RebuildValidator.java:50)
at com.sonyericsson.rebuild.RebuildActionFactory.createFor(RebuildActionFactory.java:61)
at hudson.model.Run.getTransientActions(Run.java:388)
at hudson.model.Run.getDynamic(Run.java:2560)
at java.lang.invoke.MethodHandle.invokeWithArguments(MethodHandle.java:627)
at org.kohsuke.stapler.Function$MethodFunction.invoke(Function.java:396)
at org.kohsuke.stapler.Function$InstanceFunction.invoke(Function.java:408)
at org.kohsuke.stapler.Function.bindAndInvoke(Function.java:212)
at org.kohsuke.stapler.MetaClass$9.dispatch(MetaClass.java:456)
at org.kohsuke.stapler.Stapler.tryInvoke(Stapler.java:739)
Caused: javax.servlet.ServletException