As a common courtesy you would think that they should but unless it specifically says so in their contract, they are not obliged to do so and they’d have to be pretty sure of their position to inform the EC that they can be sacked in three months when their contract runs out.
In fact, I would put a clause in every strata management contract that says the SM has to inform the EC in writing that the contract is about to expire or the roll-over clause doesn’t count.
But this is a very good reminder to everyone to do a contract audit to establish when when all your service contracts run out and under what conditions they can be terminated or renewed.