We have the flight sequence sheet from the ZQ-3 launch, I am going to look this over a bit and then edit the post to add more comments, interesting though.
Edit: Alright so after looking through it, it is pretty much similar to the Falcon 9/New Glenn style in terms of timing. There are differences though.
For reference, and putting this in text, here is the schedule for the ZQ-3.
T+0 (0:00) – Liftoff
T+129 s (2:09) – First-stage engines shut down sequentially/Sequential MECO
T+134 s (2:14) – Stage separation
T+138 s (2:18) – Second stage ignition
T+324 s (5:24) – Fairing separation
T+371–417 s (6:11–6:57) – First-stage re-entry burn (engines restart then shut down)
T+480–491 s (8:00–8:11) – First-stage landing burn; outer engines shut down, center engine continues
T+499 s (8:19) – SECO (second stage engine cutoff; orbit insertion)
T+510 s (8:30) – First-stage touchdown
T+1899–1916 s (31:39–31:56) – Second stage 2nd ignition and 2nd SECO
T+1980 s (33:00) – Final orbit correction complete
T+2010–3025 s (33:30–50:25) – Second stage passivation start and end
That is a rough translation along with some other jargon I added to clean it up.
I actually took some notes watching a Starlink launch, it was one of the 6-xx series, so here that is.
MECO: T+2:25
Stage sep: T+2:28
SES-1 (2nd stage ignition): T+2:35
Fairing sep: T+2:58
Entry burn: T+6:09–6:35
Landing burn: T+8:00, landing at T+8:22
SECO-1: T+8:39
SES-2 / SECO-2: ~T+53:52–53:53
Deployment: ~T+1:04:59
Zhuque-3's MECO occurs sooner than the Falcon 9 and New Glenn. This just means a lower staging velocity, usually. Sequential MECO is a new one, from what I understand, both New Glenn and Falcon 9 shut down the main engines at the same time. This seems to indicate Zhuque-3 will have sequential main engine cutoff, which could be for many reasons. One would be to control maximum G-loads near the end of the burn, as fewer engines equals lower acceleration. Another reason could be the mixture ratio or the propellent optimization. I do know that the Saturn V had a pattern where the outer engines shut down at first, then the center followed. Could be something like this.
Stage separation and second-stage ignition is pretty much in line with what I expect. The payload is kept shrouded for longer on the Zhuque-3 versus a Starlink launch, that could be for any reason though, so not going to speculate. For reference though, Falcon 9 usually discards around the 3 minute mark. Booster profile looks standard to me, within seconds to tens of seconds of what I see from the Falcon 9. There is a slight difference in relationship to SECO, where the Zhuque-3 is going to have SECO at 8:19, 11 seconds before the booster touches down, and the Falcon 9 has SECO-1 17 seconds after booster lands. Slight difference but nothing really to note.
The thing I actually like is that LandSpace is being much more transparent about their sequence versus Blue Origin and SpaceX. The notices I have seen from them never mention passivation phases (though they do it as well). Wishing them the best.