M,
The labels do not look right to me either..
It would be pretty stupid to plumb two skimmers together on the same line at the equipment pad..
As a test, I suggest that you turn the handle of the pipe marked "skimmers" so that it points straight up.. In theory, this should shut off both skimmers.. Then go look at each skimmer and see if they are working or not..
Please tell us what you find.
Thanks,
Jim R.