From the data given in the question, this is a valid interpretation. So what they're doing here is using an anti-body to tag the protein they want and then using an anti-body for the first anti-body to tag the first anti-body with a fluorescent tag. So the confound you want to avoid here is what if your second anti-body just happens to tag antibodies non-specifically?
There's also the possibility of the second anti-body binding other things, of course