I haven’t run Epson’s hot and cold pressed papers through the top sheet feeder, but I have used Canson Rag Photographique 310 and Hahnemühle Photo Rag 308 through it with no problems. It isn’t much less of a straight feed path than the rear-manual feed.
I probably used Ultra Premium Presentation Paper Matte, but with the paper thickness increased to 4. The hot and cold pressed Epson papers may be thicker, so I would probably go with a paper thickness of 5.
I end up with strips of 4, 5, and 6 inches of paper from larger sheets and rolls, and the top sheet feeder is the only one that will take them.
Brian A