That's true, most theatre plays should be marked as video. There is however an exception for plays originally broadcast on TV. Assuming the data is good, this one premiered on BBC Two.

I'm sorry to open this again, but this topic is important for me, as I'm quite interested in theatre (play, opera) and in future would like to add my library of theatrical recordings to TMDB, but now I'm not sure whether I correctly understand rule you reffered to:

Content allowed in the Movie section (only if marked as video):

• Filmed theatre
  
  • exceptions: plays originally released as a TV movie or TV special are allowed as a regular movie.

What makes recorded theatre to be considered a TV movie? In Czech only theatrical inscenations made directly for TV (i.e without audience and often not on the stage at all) are considered to be a TV movie. All recorded theatre with a live audience (live broadcasts, recordings played in TV, recordings released only on DVD) are considered to be "theatrical recording". I'm asking because for this Hamlet its BBC website specifies:

Hamlet captures the Almeida Theatre's 2017 acclaimed production of William Shakespeare's great play, recorded as-live in its West End transfer on the stage of London's Harold Pinter Theatre.

Which I understand means that it is in fact recorded theatre play with a live audience (+ which premiered earlier - before its transfer to the London's Harold Pinter Theatre) and this recording was only later broadcasted on the BBC. In Czech it would be considered "theatrical recording", thus marked as video on TMDB, however according to your explanation (as I understand it) the sole fact that this recording was broadcasted on TV (and I mean major TV + recorded with a TV crew who is credited in the closing credits) makes it "TV movie" and thus it shouldn't marked as video. Do I understand it correctly?

the sole fact that this recording was broadcasted on TV (and I mean major TV + recorded with a TV crew who is credited in the closing credits) makes it "TV movie" and thus it shouldn't marked as video. Do I understand it correctly?

That sounds right. We only focus on the first public release of recorded plays. Plays that are first screened as an event in a cinema, have an original physical (VHS/DVD) release, or are first released digitally are marked as video content. The video field is set to "no" for any play first released on television.