I am not writing specifically about Skeeter Pee, but letting a fermentation run its full course does more than provide alcohol.
There are esters and lots of other cool things that develop and mature along the way. Cut the fermentation short and some of those just won't mature.
In some areas and with some wines, stopping the yeast early is a fairly common practice for those who want their wine to be left sweet without having to back sweeten.
To cut it short, you have to somehow stop the yeast from doing their job. You can add brandy or some other high alcohol product, which will immediately kill the yeast. You can also filter the yeast out with a very fine filter.
Adding kmeta to slow/stun the yeast, then sorbate to stop them from further reproduction also works, but without filtering out the yeast, fermentation can start up again in some circumstances.