Old planes are only for display, including some MiG-23s and Q-5s. Not exactly sure how China procured those MiG-23s, but I bet they were the ones traded from Egypt in the seventies.
If Minskworld defaulted, it only means it will be owned by a state owned bank, so the government will have the final say about its fate. If the country still has the slightest shred of having any interest in a carrier at all in the future, even for study or practice, then it may survive. If not, then indeed the country has no interest with carriers at all other than amusement or scrap metal.
Maybe the Kiev theme park will do better. The company behind it have been looking for all sorts of foreign investors. Varyag is still sitting there in Dalian gathering rust.