International Color Consortium (ICC) has a page, Is your system ICC Version 4 ready? where you can see if ICC v4 and/or ICC v2 is supported by your system and the application.
- Google Chrome shows the HTML site correct for both ICC v2 and v4.
- Adobe Acrobat Reader DC shows the PDF correct for both ICC v2 and v4.
but if you open the PDF inside Google Chrome, neither ICC v2 nor v4 works properly. So it looks like although Google Chrome manages the color properly for (HTML) web sites, the embedded PDF viewer is not.