Just ran across this enhancement and thought I would provide you a potential work around.  On our Jenkins, we had implemented a Groovy Postbuild Action which saved the parameter used values as the job's default parameter whenever it were successful.  That sounds like what you are looking to do.

I think your ask is a more generic one, not really specific to the Multi-job plugin so I doubt they will address it.

I attached the script for your reference.  It also adds a tag to the build when the parameters change including a popup for the old/new values.

Thanks for this!! I'll give this a shot.

Closing issue as part of tikal-multijob-plugin issues cleanup.
If still relevant, please open a matching issue in https://github.com/jenkinsci/tikal-multijob-plugin/issues (you can refer to this issue in its description)