The Web module in CC 2015.7 / OS X 10.11.5 doesn't use the display's profile when showing photos. You can easily verify this:
1. Install this display profile on your system. The profile swaps red for blue, green for red, and blue for green.
2. In the Library module, view a photo and notice the colors have been garishly swapped, indicating that Library is using the display profile.
3. In the Web module, use the default HTML gallery to view the same photo, and notice that the colors have not been swapped, indicating that the display profile is not being used.
4. In the Web module, click Preview In Browser. If your browser is color-managed, the colors of the photo will be swapped. (You may have to completely restart your browser before doing this.)
With a regular display profile, this bug can cause colors in the Web module to be more saturated. See the original report from Bob Somrak here: https://forums.adobe.com/thread/2216419
The problem doesn't occur with LR 5.7.1, and Bob thinks it doesn't occur with minor versions prior to CC 2015.7.