Payload to LEO is basically a unit of measurement and does not mean the actual mission will be LEO.
It means that it is a rocket designed for both LEO missions and LTO missions.
Yes. Based on this picture you sent, the hydrolox third stage is the YF-75D, which is used for 70t LEO.
Why do you think the third stage with YF-75D is used for 70t LEO?
They explicitly stated LTO 27t as the first payload, and it makes sense that a LTO payload would require a third stage.
By contrast, a LEO mission profile will not require a third stage.
Yes, but a hydrolox vaccuum optimized engine can have Isp ~450, which is what allows for the high payload. The other reason why CZ-5DY without the third stage has lower payload could be because it is a smaller rocket.
In fact, the reason why it has more sea level thrust than Falcon 9 might be so that it can lift the third stage if needed. Sea level lift must exceed launch weight after all.
I feel like we are talking past each other.
Taxiya and I have already come to an agreement for why the single core CZ-5DY variant has a lower LEO payload than Falcon 9 -- and that's likely because the fuel tanks are smaller and the second stage has only one YF-100.
However, we are now talking about the three core CZ-5DY, which has boosters that have the first stage of the single core CZ-5DY, but that the central core first stage has much larger fuel tanks for longer burn and that the second stage also has two YF-100s rather than one.
What I am suggesting, is essentially this: