I'm from the US and I don't order hot tea in a place that might do this. I wouldn't trust them to make it, either, though. My reason is that the water they'd bring just isn't going to be hot enough to steep with.

I love black tea steeped in water that started close to boiling when the tea was added and poured (or teabags removed) before the bitter tannins get too strong. Even cheap black tea can be decent if it's brewed well.

If they bring me a pot of water, it probably came from the hot water thing on their coffee maker and it already started not hot enough even before they put it in a non-insulated metal pot. If it were hot enough, I'd actually prefer to put the bag in myself so I know when to take it out.

On average, folks in my country have never even had hot tea brewed well, and I think that bad tea is worse than bad coffee.

If I'm in, say, an Asian place, I'd be more likely to order tea since I reckon the staff are more likely to know how good it can be and how to make it.