If we receive files with "wrong" color profile, e.g. S-RGB, the conversion will not be correct and the colors will not be as expected. This is due to that there are not enough colors / shades, e.g. there is a depth of green / yellow.
The opposite pole to green is Magenta (red), which means that when you reduce with green (sRGB), the image becomes redder. (Often darker with color imbalance, this is most noticeable on Digital Printing). This is rarely seen on the screen, but the printout shows a clear difference
When we print an image on Digital Print in CMYK where we suspect the wrong color profile, we convert it in the printing process to sRGB, which results in a good result ... but not fully like Adobe-RGB.
NB! It is important that the image file has the correct color profile, so it is not enough if you "mount" the image in another program e.g. Illustrator or Indesign that has Adobe RGB as the color profile in the document. The actual image you mount must also have Adobe RGB.