If one removes the skimmer without providing proper replacement, by providing balanced nutrient export , for sure the carrying capacity must constantly increase. What goes in must be used and reused but what is not needed must be harvested to keep the bio-load within limits. Active use of bio-filters ( managing remineralisation and growth rates) one always may and can adjust the carrying capacity to what is needed. This is not the case only using a skimmer for nutrient export.
Nothing or not much can be adapted to the needs with a skimmer, a skimmer will not ensure that nitrate will not build up, on the contrary.
Personally I do not bother much about the nutrient unbalance created by a skimmer in LNS or and VLNS
if I want to keep a mixed reef with a lot of fish and filter feeders, needing the same water quality, without having to worry about nitrate build-up for which all kinds of means have been devised to bring everything back into balance and of which the most used applications can possibly cause more damage than the presence of nitrate has ever been proven, and I am willing to spend some time on my hobby, then I think I can do it best without using a skimmer.
I can know what I'm adding with food but using a skimmer I'm left guessing what is being harvested, or rather, what is left behind. In combination with a skimmer it is much more difficult to control an aquarium based on nutrition and growth without causing deficiency diseases which can also be caused by too much of one in relation to the other.