Should I expect PDF vs TIF CMYK images to render differently on screen?

Consider a TIF CMYK image with embedded ICC profile, e.g. using ImageMagick :

convert input.tif -profile /path/to/ISOcoated_v2_eci.icc output.pdfconvert input.tif -profile /path/to/ISOcoated_v2_eci.icc output.tifconvert input.tif -profile /path/to/ISOcoated_v2_eci.icc output.jpg

The color rendering on screen between the PDF version viewed with evince or mupdf and the TIF/JPG versions viewed with eog or gpicview are quite different.

I understand from this question and this bug report that PDF viewers using poppler might have a different CMYK onscreen color rendering than other programs. Using mupdf leads to the same color rendering, but of course it could simply be that mupdf follows the same convention as other PDF viewers.

So is such a difference expected ?