It would be good to have an option or setting the most top of results to be chosen by default.
will wait for 0.6.2
It does not work from you because these changes have not yet been merged.
I made only pull request, so you can see whether such a change is right for you. At version 0.6.1 will not work, as you want.
If you want to use it you must wait to release 0.6.2 or compile plugin from source.
I have added my screenshots with plugin version and with 2 types of job run:
1) by timer
Do you check it on version 0.6.1 whether built a plugin from source (branch https://github.com/jenkinsci/git-parameter-plugin/tree/feature/JENKINS-31939)?