Lightroom Classic: Option to automatically import the outputs of export or print

Again, Print to File was the main emphasis. Add to Catalog is an option in Export;  I miswrote it - should have said "Same as option in Export function".  (editing mistake).
I know the possibilities using history,  VC, snapshots etc. as well.

(adding later after return from meeting...)

I use the print module to "bury" information into the "print" - grabbing metadata fields and putting them right on the print file - like people's names at family reunions in a field at the bottom of the print.  Another use is abusing the graphical identity plate to display the descendency chain of someone off to the side - via a PNG file which is transparent.   When you get 15 or so of these going and create a huge directory of all this graphical information, it's handy to be able to save it to a folder to use from the OS level, as well as find it with a keyword or two from inside LR.  I'm not going to edit it again, just want it all together and searchable.     I've used PS's bulk text file  input to create directories of these PNG files and then just reference them 1-by-1 inside LR as needed...  when you import these final "prints" which are customized thusly, you have exactly what you sent someone as it went to them.

To my knowledge you can't do any of that from export - correct me if i'm wrong.

My biggest difficulty with Print to File, is that the connection to the identifying filename of the source image version is lost. In Export you can include that into the naming of the new saved version.

If you have done LR keywording of the included people etc then this is inherited in the exported output and is of service for browsing outside of LR - locally, or else online. And at the same time you can browse on those same keywords inside LR.

No reason not to re-import exported files if you want, but I personally would seek some other way... purely for reasons of working clarity.

Just as a thought, dismiss if you will: maybe it'd be more fluid and direct, to present as a web gallery? I mean, whereby the associated metadata explanation is put up dynamically alongside (drawn from text entered and updated within a LR field) - rather than to build static graphics which include a pixel or PDF representation of this metadata?

I would have no interest in exporting as a web gallery. Thanks.