Proper handling of metadata in the Lr print module has never been properly developed. Sadly, there is excellent functionality in the Slide Show module, but Adobe have never seen fit to port this into the Print module.
There is a whole bunch of workarounds, which I have lost familiarity with. Hopefully, some of this can be posted by the more experienced community here.
Personally, I use a variety of techniques to marry metadata and images for printing to a professional standard. There are a number of plug-ins which allow metadata of interest to be exported to a Csv or Excel file. Then their are mail merge options within InDesign or Photoshop to design templates to create the required image / metadata combinations. However, these tools are clunky, out of date and not intuitive to use. Several of the Affinity apps have a superb built in mail merge option. It is seriously well designed. I intend to convert my current workflow to use this tool, maybe this winter. It is also possible to mail merge into a Word or PowerPoint document, but Microsoft makes it too tricky to include images in their mail merge. I did get it working but lost the Word template I used and have been unable to get this option to work in a long time. I have stopped trying this option some time ago, as I know the Affinity Mail/Merge is superior to Adobe or Microsoft.
I will post links to two plug-ins I use to export metadata for images of interest when I get back to my desk, probably in the morning.
I recognised this feature was missing from Lr from the very first beta version, have posted requests thru the correct channels, ,but I have given up hope that Adobe will ever implement the elegant solution required, which Lr deserves.