Suffering has to be defined… but even so, in case of real suffering a self aware entity will remove itself from circumstances causing suffering. So I don’t think current models are suffering 

biological organisms to humans are interesting or not /useful or not /annoying or not. They ( plus humans) will continue to be that way for AI — all will either be pets/ fodder for experimentation/ something to be removed. All of these outcomes will lead to various degrees of suffering