I have the same problem, asked at forums and it appears that a lot of people do not have this problem: skimming resumes quite fast.
You may try to get response from the long term non-photosynthetic corals keepers, who are feeding continuously or very frequently. And post result here, will appreciate this.
From my humble experience, it could be
food dependent and
skimmer dependent.
For example, feeding half of the handful of homemade seafood blend (Melev's or Blundell's recipe, with flakes and a lot of different components) to the group of sun coral causes rapid increase of skimming for a couple of hours, skimmer has to be tuned down, otherwise it will overflow. After that tuning should be restored. This is in the big tank with needlewheel venturi skimmer: ASM G3, not recirculating, and later with Turboflotor 1000, recirculating. (I'm giving details because I'm also trying to figure out what is going on and solve the problem).
Same was done on the small tank, with small sun coral, same food plus mysis, in proportionally smaller amounts. Tunze DOC Nano skimmer (should be the same needlewheel, venturi, not recirculating skimmer, but I have to check later) stops skimming for 5-6 hours. Needless to say, that it didn't handled the job of cleaning water with 5-6 daily feedings for gorgonians.
Hang-on Rio Nano skimmer (also needlewheel, venturi, not recirculating) on the third tank, fed the same food, but finer fraction, no pieces, plus dry food restores skimming within hour.
Feeding one kind of dry food didn't decreased skimming for the Tunze Nano, but feeding another - stopped it.
We have to feed variety of food, almost continuously or at least several times a day, and the not working skimmer is definitely a problem.
Who have no problems with skimming, please, post what kind of skimmer you have (not just brand name, you know to what group of skimmers it belongs), what do you feed, and interval of decreasing skimming (an hour or so?).
You see, some of us have this problem, some - not. Some will be able to continue keep non-photosynthetic corals, others will be forced to quit. Be nice and help the community grow
Input about alternative to the mainstream food will be particularly helpful.