This thread has details about organic carbon dosing which should be helpful in deciding whether or not you want to use it and how to.
Whether or not you need it depends on the load in your system and the type of aquarium you wish to keep.
Keeping certain leathers gorgians and a variety of mushrooms with higher nutrients is ok and if you have enough coral in the tank ,algae can be kept to a minimum . I run a tank like that but sps , many lps ,zoanthidae and other types struggle in that set up.
IME, Most corals particularly sps and zoanthidae thrive with organic carbon dosing: mushrooms of most types( rhodactis, discoma, ricordea florida) do well; a broad range of lps do well; nemenzophylia, cataphyllia jardeni, and ricordea yuma are notable exceptions. Sponges love it, so does the goniopora I keep . Leathers including : sacrophyton, nepthea , sinularia , lobophytum do very well. Pachyclavularia, briarium and many others seem to like it fine. Xenia and some antheila do not.
Vinegar does not help cyano grow. Cyano dosen't need the organic carbon; it's highly photosynthetic . It's often a start up issue in carbon dosing . As bacteria establish themselves they outcompete other organisms that might be competing with the cyano for the available PO4. Ultimately teh bacteria take over.Been dosing vodka and vinegar for 3yrs and 8mos. Tanks have never been better; no cyano or nuisance algae except a sprig or two once in a while.
Often refugia ,etc are just not enough to carry an sps dominant set up or to allow adequate feeding of the fish unless they are very large.