But my mum doesn't want to be a server. And I don't really want my TV being one either.
But my mum doesn't want to be a server. And I don't really want my TV being one either.
The question is not whether your mum wants to be a server, but whether she would like to use services that are only possible or are easier/cheaper to implement technically using a "server" on her machine/network.
People also don't "want a natural gas burner". People want that their home is warm and they prefer not having to shovel coal and they prefer the general lower costs of natural gas heating vs. electrical heating. So they end up buying natural gas heating systems. Not because they somehow like natural gas burners, but because that happens to be the technology that provides the comfort they like at a price they like.
And if you don't want your TV being a server, you most likely don't want it connected to the internet at all. It's not that it not being a server somehow prevents it spying on you or from being vulnerable to outside attackers.