I don't think this captures Rose's point. My perception of the passage of time as measured by my wristwatch is the same as an astronaut's perception of the passage of time as measured by his wristwatch whilst on the ISS. But they aren't the same. If time does not exist how can it vary from place to place ?
Presumably because the
perception of time, rather than anything like objective, perception-independent time, is entirely subjective. You say that your perception of time and the astronaut's perception of time are the same, yet we know (and can measure) that they're different; but even aboard the ISS the difference is so minuscule that there's no perception of difference. After all, technically speaking there's a time difference (even smaller, in this case) between the ground floor and the highest point of the Shard, or the Burj Khalifa for example.
On this I suspect the mystics such as Eckhart Tolle and physicists such as Julian Barbour are in agreement: no matter where you are or what you're doing in the universe, your perception of time is an ever-present Now because it simply can't be otherwise.
I read Julian Barbour's (supposedly popular science but actually hard-going)
The End of Time some years ago and was promptly won over to his thesis about the unreality of time - I've long threatened to bore everybody into the shagpile with a thread on it (though it's incredibly difficult to do in words alone, without pictures or diagrams) ... but so far Sriram has come close to expressing the central idea:
Time does not give rise to Change. It is the other way around. If Change is measured, it gives rise to Time.