Let's compare how are reported a pipeline job and a freestyle job when they are triggered as parametrized build in the Post-Build section.
In my example I have a freestyle job :
test-parametrizedPlugin-main-job that calls 2 jobs one freestyle and one pipeline :
1- In the status page of the job we see in the Downstream Projects part, the pipeline job is missing
2- In the console log the called pipeline job is not reported but started