And how, exactly, will the "network conditions stabilize" if over 1/3 of the votes are malicious, and thus able to prevent the honest voters from ever agreeing on anything ever again? Are you betting that the attacker will just get bored and walk away?
Also, what a confusing choice of words. A distributed system is BFT (or not BFT) regardless of whether or not the underlying message broadcast medium is synchronous/asynchronous, or reliable/unreliable. The "network conditions" being "stable" have no bearing on the voters' ability to reach agreement -- that's solely a function of whether or not f or fewer votes are malicious out of 3f + 1 votes.