Assuming the R/T transcript is correct and complete.( Big "if" )
From an ATC point of view, looks like the controller is just a parrot mainly repeating orders from someone else behind him .
That part I find interesting :
ATC: 09.42.49: RYR 1TZ we have ground stuff frequency for Vilnius 131.750
Pilot. 131.75 and we have contact...(unreadable).
ATC:09:44:38 RYR 1TZ advise your decision please?
Pilot: Radar ,RYR 1TZ
ATC:RYR 1TZ advise your decision please.
The unreadable is the interesting missing part of course. and the subsequent pressure from the controller to ask for his decision, this is definitively not an ATC based request, but a request from someone directly behind him fearing the aircraft will enter Lithuanian airspace before a decision will be made .
Lastly : they start their Press release with :
Department of Aviation in accordance with the requirements of Standards 5.2.5 and 5.3.1 of Annex 17 to the Convention on the International Civil Aviation, the Department of Aviation informs about the fact of an act of unlawful interference in the activities of civil aviation on the territory of the Republic of Belarus.
But there is no mention of the forcefully removal passengers from the aircraft which is in contradiction with the same ICAO Chicago Convention ..
In the meantime EASA issued a Safety Info Bulletin asking EU airlines to avoid overflying Minsk FIR until further notice, an indication they did not buy the Belarus press release story either.