CZ-5DY does have plan for LEO mission, possibly the new generation crew spacecraft. It would be the single stick variant.
See the one on the left.
View attachment 76699
Beside LEO crew mission, there is nothing to stop it being used for satellite mission except possibly the price tag.
CZ-9 is also intended for near earth mission. That is actually one of many reasons for its seemingly lower lunar payload/mass ratio because the design can not be optimized for a pure lunar mission like Saturn V.
I can not answer the question of version 11 and 21 with certainty. I guess that they are being developed (key tech and design phase) at the same time right now. 11 has an early start. 21 is a new idea recently after CZ-5DY became more realistic negating the modular idea of version 11 (killing the A and B variants). YF-135 and YF-130 are more in parallel from the beginning than CZ-9. The rumor of 360t engine has been for some time. I also guess that if 21 progress fast enough, 11 may not see fruition. It is like the EM catapult vs. steam catapult. CNSA will take the one on time and better.
With Version 21 of CZ-9 being a monoblock design, it is possible the dual-chambered YF-130 will still be used in boosters for a future growth version of CZ-9 like a single-staged CZ-9 dedicated to LEO missions much like the CZ-5B today.