Nope,
no colorspace conversion. The Fuji printer ignores embedded profiles.
The RGB data supplied are simply converted to print "as they are".
Yes, agreed to a point. Depending on the front end, there is no color space conversion using an ICC profile. But sRGB numbers are being converted to a different set of values for output. As you wrote, ‘
converted to print’. Again, there is no such thing as an sRGB printer. There
are front end options that fully support ICC profiles (source and destination).
If the RGB data supplied are in ProPhoto RGB, it is simply a totally wrong assumption about the print gamut. The print will be hosed.
Yes because the front end, the process that converts to the actual native color space for the print process assumes sRGB. That doesn’t mean sRGB is what gets fed to the output device to make the print. There
is a conversion to the native color space necessary to make a print.