(Disclosure: I don’t really know the extent of the issur of clapping on Shabbos, and I don’t know the heter for doing so by chassidim. So I’ll just take username’s explanation as is and deal with it as if it’s correct.)
It’s not. Tosafos says the gezeirah doesn’t apply when we don’t know how to fix instruments.
If it were a mitzvah to sleep during Sukkos, then you could say that sleeping outside the sukkah to enhance the mitzvah of sleeping is similar to clapping on Shabbos to enhance the Shabbos. But the mitzvah is sleeping IN the sukkah, and sleeping OUT of the sukkah can’t enhance that.
The mitzvah of eating in the sukkah is the same mitzvah as sleeping in the sukkah. תשבו. So your tayna isn’t a good one. The problem is you’re chayav to sleep in the sukkah, and you can’t make your own cheshbonos.