tldr: Blue ocean should use the displayName if one is there, instead of build number (like the classic screen shot). The URIs are unchanged, just what is displayed in the column.
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- claims that currentBuild.displayName is honored in blue ocean as of now, but it is not consistent. The following script: JENKINS-39850
Produces the attached screenshots on our system.
The activity screen should show displayName in the RUN column.
shows screenshots that show that to be the case. JENKINS-39850