Let me start this with: "IMO"
A skimmer when turned on takes 30-120+ minutes to build a good foam and begin skimming properly. If the skimmer is turned on and off lets say 12/12 then the 12 on it woulkd actually only be skimming about 10 hours or so. Additionally skimmers build a slime coat on the inside which allows the bubbles to flow easily through it instead of bursting. When a skimmer is off this dries/dies.
With the on/off method you are essentially breaking in your skimmer every day, I don't personally recommend it and notice a massive difference when it is run in that manor.
hope this helps, just IMO and from research I have done in the past
(All the shop and personal skimmers run 24/7 here)