This thread and its linked pages answers the challenge completely
https://social.msdn.microsoft.com/Forums/en-US/5a631f79-a116-49b7-8f55-826c050a38ce/printing-from-ssrs-2016-dirrectly-to-printer-without-pdf-reader?forum=sqlreportingservices
http://printssrsreport.blogspot.com/
https://neelb.wordpress.com/2018/09/26/ssrs-enable-disable-client-side-printing/
Microsoft has intentionally limited direct printing without intervention for good reason.
In all scenarios printing reports is bad -- data is out of date immediately, paper wastage, print server administration (and automation if you go down that route)
Reading through the noise - Chrome browser offers a marginally better experience because it has an inbuilt PDF viewer - so the user experience would marginally better than having to open a separate application to view the PDF - from Chrome the facility to print the PDF is trivial