You're very welcome, MaverickMongoose.
Perhaps a mixed version (Not solved as your headline asked for it in RS alone): where the tiles are produced in the Material Tag settings. So, for each object with a new Material Tag, you must set this up tiles again (if you don't copy it). This is the lowest stress in the nodes for a layered result, while you get your large repetition anyway. It is fast.
https://stcineversityprod02.blob.core.windows.net/$web/Cineversity_Forum_Support/2023_PROJECTS_DRS/20230525_CV4_2023_drs_23_REhx_02.zip
(This is copyrighted content, and we have no license to use it, I will take the link down soon).
I left the node for the 2K image from above in it for comparison; the HDRImage needs to be retaken from the Material (or Content Browser.)
All the best