I noticed when the P-to-F file went in to Photoshop it went as a "paper profile" from QU and not a generic "sRGB, Adobe 1998, or ProPhoto" profile
You can set the profile to what you want in the PTF dialogue.
See screen shot below.
A dot in "Monitor-Web" is always sRGB; a dot in "On-line printing or ...." has buttons for sRGB, Adobe RGB and browse to a profile of your choice.
Just follow the steps 1, 2 and 3.
Terry