Man killed by departing 737 on runway at Sheremetyevo
 

Moscow Times report:
So, a person is seen running in the direction of a runway, but flight movements continue as normal?

Weird! But then it's Russia.

Quite an assumption, and the wrong one, you're making there! If they "discovered" a dead body on the runway one would rightly consider that they had no knowledge of it, probably until a scheduled runway check.

Not an assumption - the reports explicitly say he was seen heading in that direction:
Maybe passengers only reported that later, but if any ground crew saw him, alarms should be going off ...

It seems to be 3 different stages.
Arriving from Madrid.Starting a fight
Police give chase and runs onto runway.
Runs to runway where a plane is departing to Athens.

Why did they only discover when plane landed with "human remains were discovered on the plane".

Possible difficulty with the English language.

Saw something like this at Heathrow one evening. The Captain of a Northeast airlines flight rang ATC full of apologies saying his F/O had insisted he rang us as he had seen a body on the runway. A Checker vehicle was despatched and, sure enough, found the gentleman! They took him to hospital and I believe he died of pneumonia later.

https://lenta.ru/news/2018/11/21/zapis - recording.
- Pilot assumed they hit a "hare" and continued take off (unless of course by "hare" he means a person, but does not sound that way to me)
- Human remains discovered on the runway.

"hare" is Russian slang for a stowaway or a passenger travelling without a ticket.

https://lenta.ru/news/2018/11/21/zapis

The rough transcript goes as follows

0:00 OK, so we done everything, lowered gear for verification, retracted gear, we're good, no failures, nothing is visible.
0:09 I think the "hare" [term for a stowaway] was not capable of inflicting... ehm... damage of any kind
0:17 We're carrying on with the flight

Well aware, but is it used in that sense in the airline world, though? Also, pilot's voice is too calm under circumstances, if he meant a person.

Meaning (and usage) of "hare" stays the same in any mode of transportation. Another thing, I don't think there are animal hares around SVO. At least, I put that as "extremely unlikely".

I live near SVO - I can confirm: there are no animals at all around SVO.

Why would the flight crew assume that a person dashing across the runway was a stowaway (hare)? It could have been some ground ops personnel at the wrong place and time.

I'm not exactly sure they assumed. The recording covers the part where the crew already completed any activity they wanted to ensure there is no problem, and they decided to continue to destination. This implies there was a previous discussion with ATC, probably about the possibility of returning to SVO.

Ground ops would be there in a car with flashing orange light. They would not enter the runway on foot.
They would probably also be wearing a high visibility vest.

It's quite obvious, the pilot meant "animal", not "person". Otherwise they wouldn't have continued to Greece (the return flight was cancelled, plane is still in Athens).

So, we are aware this happened 3.6 hours after sunset? (7:54 pm local, sunset 4:14 pm local). Nightime.

It's not as thought the fugitive is going to be easy to track once he is into the grass islands and away from the ramp lights. (Remember a SWA 737 running into a ditch in darkness? 10 meters from the ramp edge?) Until he pops up in the aircraft lights.

And AFL2112 may have already been cleared for TO and lining up as the event developed. How long do we expect it to take for a ramp worker or guard to contact his boss, and for that boss to contact the tower, and for the tower to decide to cancel a clearance? Additionally allowing for startle-factor and situation awareness at each step - "what the heck exactly is going on here?"

What was the weather like at the time? At night, I can see a crew not being able to see something on the runway. However, an airplane is brightly lit, and loud!

True - but so is a freight train. And how many people still die thinking they can beat the train to the crossing? :(

As to the crew, at 130+ kts, I doubt they saw more than a shape flashing under the nose.

That was my thinking - no expectation that the pilot could have seen enough (if anything) before the hit to do anything about it. I haven't seen any information about when the collision happened during the takeoff run. If it was around or after V1, the pilot had to continue with the takeoff, of course.