That makes no sense at all.

Again entropy. Infinity time doesn't mean infinity mass or energy. Its far more likely it would just become susceptible to heay death like the rest.

Furthermore... if it was truely industructibe in a way that is impossible in nature, no outside sources would be able to influence it. No pressute change, no heat, no cold. It wouldnt get to become a super fluid. It wouldnt subliminate.