[tfgg]

That's true in our reference frame, with some error bar, but astronomers rarely make the distinction when talking about observing events, so I always find it odd when laymen insist on making it.

I guess the distinction is rarely made by professionals because

- It requires defining a reference frame.

- It makes no difference to the causality.

- Time is a function of distance, which usually has large error bars on it, so it's better to discuss the distance instead.

- Time as a function of distance gets more complex on cosmological scales.

On the last point, you can get the exciting realisation that, due to the expansion of space, objects actually start getting larger the further away they get beyond a certain distance.