There shouldn't be any course for alarm nd I've also raised a similar topic in the past week and I don't think there will any harm if coin is sent to the old address but I also think that binance should simply just do an automatic change in the address without having to keep the minds of its customers restless.

I also think based on the responses I got on my thread that there might still be an option for one to transfer their funds from the previous address to the new one just incase the need be.