What will happen is miners will continue to mine to confirm transactions.
My mistake,, what I mean is the small miner like me.. The difficulty and the fee,, I don’t think it’s worth mining at that time.. The improvement of Segwit and future updates in the lite network will lessen the possibility of higher transaction fees then those factor alone won’t be beneficial to a miner cost production..
I hope I’m wrong and correct me if i am Sir..