Since you're (more or less) taking the difference between the two signals and rejecting the common-mode portion, could any single (appropriate) op-amp work as an LVDS receiver and convert it to a single-ended signal?
Op-amp used without feedback converts differential signal into single-ended two state signal.
But there are the reasons why except OpAms there also exists comparators that at first look you can think - it is the same.
And there exists also LVDS receivers.
Each of these devices are designed to fulfil different requirements.
Op-amp working with +,- supply should allow to make stable amplifier of gain set with resistors but need not to have output voltages at specified digital stages (so it is possible that its maximum negative output is not close to its negative supply (it can be for example 1.5V from it).
Comparator need not to allow to build stable amplifier and in most cases uses its negative supply as GND reference when its output is 0 state it should be rather close to 0V and not 1.5V like it can be for Op-amp.
Op-amps and comparators have to have as small as possible input offset.
Comparators are much faster then op-amps.
I think that LVDS receivers (I have never used, and never read such IC datasheet) are much faster than comparators which was achieved at the cost of significantly decreasing the accuracy of the input voltage comparison.