There are some things that don't make much sense and there are some others that may (or may not) mean something.
1. First, while some planes were actually diverted to other airports, some, at least one, landed and took off around the same time.
From FlightRadar, Arrivals:
https://www.flightradar24.com/data/airports/rov#arrivals
12:20 AM U6147 Moscow (DME) - A320 - Landed 11:53 PM
12:35 AM SU5117 St. Petersburg (LED) - A319 Landed 12:19 AM
12:50 AM UT497 Moscow (VKO) - B735 Landed 12:33 AM
01:20 AM FZ981 Dubai (DXB) - B738 Landed 03:42 AM/Crashed
01:40 AM U62758 Khudzhand (LBD) - A320 Landed 01:28 AM
01:45 AM S71159 Moscow (DME) - A319 Landed 01:23 AM
02:15 AM SU1166 Moscow (SVO) - SU95 Diverted to KRR
03:25 AM OK914 Prague (PRG) - A319 Diverted to KRR
03:55 AM TK293 Istanbul (IST) - A319 Diverted to IST - this one after the crash
Flight Radar, Departures:
https://www.flightradar24.com/data/airports/rov#departures
02:20 AM FZ982 Dubai (DXB) - B738 Unknown
03:20 AM U62757 Khudzhand (LBD) - A320 Departed 03:31 AM
03:25 AM SU1167 Moscow (SVO) - SU9 Departed 03:35 AM (this may not be true, the plane was diverted to KRR)
The Ural Airlines pilot who landed and took off (flights U62757/58 above) during the time the Dubai plane was making some crazy loops for two hours (why would he do it?) said the conditions were "normal" for locals, but not for foreign pilots. It seems a bit like a cavalier /bragging attitude, so FWIW. He also said he heard a part of conversation between the Dubai plane pilot and the ACT and everything seemed calm and OK. Link (in Russian): http://lifenews.ru/news/191304
You can see the Russian airline making just two regular loops and diverting to Krasnodar airport:
https://www.flightradar24.com/data/flights/su1166#923206c
and compare it with FZ981:
https://www.flightradar24.com/data/flights/fz981#922b3bd
2. FWIW
The Dubai plane's (A6-FDN) previous flights were to Kiev and back to Dubai:
https://www.flightradar24.com/data/aircraft/a6-fdn
2016-03-18 Dubai (DXB) Rostov-on-Don (ROV) FZ981 6:05 08:45 PM 09:37 PM 01:20 AM
2016-03-18 Kiev (IEV) Dubai (DXB) FZ744 4:56 04:05 PM 04:17 PM 09:30 PM Landed 09:12 PM
2016-03-18 Dubai (DXB) Kiev (IEV) FZ743 5:25 07:10 AM 07:42 AM 01:05 PM Landed 01:07 PM
3. And just a 'beep on the radar'
A bit less than a year ago, Russia has launched the “quietest submarine in the world.” It was named "Rostov on Don". In December last year, Russia used it to attack ISIS:
_http://www.defensenews.com/story/breaking-news/2015/12/08/submarine-russia-kalibr-caliber-cruise-missile-syria-kilo/76995346/
"We used Kalibr cruise missiles from the Rostov-on-Don submarine from the Mediterranean Sea," Shoigu told President Vladimir Putin, Russian news agencies reported.
The missiles "targeted two major terrorist positions in the territory of Raqqa," Russia Today quoted Shoigu as telling Putin. "We can say with absolute confidence that significant damage has been inflicted upon ammunition warehouses and a mine production plant, as well as the oil infrastructure."
The plane circling for over 2 hours and then falling down like a stone is really hard to explain by bad weather conditions only....