I'm one of those people. My TV doesn't have an internet connection, it's about 20 years old and it still works, I have no intention of replacing it until it fails.Doomed because:
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I watch Freeview and I have a Panasonic box that allows me to record Freeview and watch it at a time that suits me.
I've got a Roku stick that would allow me to watch TV from the internet but I very rarely use it.
I'm happy without Sky, Amazon prime or Netflix, I see no need to change. I will have to move away from Freeview if they switch it off and then some more perfectly functional electronic equipment will go for recycling.
All that this announcement has done is to make me less likely to purchase any new TV equipment in the near future as it has created uncertainty in my mind.