Situation update:
I've checked HDMI camera/cabe with friends TV (yes, I don't own device with HDMI input :-)) and it seems converter is the one making problems...
Crap....
Thnx for help...
This one:
http://www.ebay.com/itm/New-HD-1080P-AV-TO-HDMI-Converter-Video-Converter-Adapter-Video-Cables-/380705519422?pt=US_Video_Cables_Adapters&hash=item58a3d1373e
Sorry, I just realized this is AV2HDMI, but the one I have looks exactly the same, it's only HDMI2AV.
So, I've got Sony NEX-5R for my hexa and I have pretty bizarre problem.
I get live video from it's HDMI output until I start recording movie.
That moment it cuts video output.
?!
I called Sony customer support and (as usually) they have no idea about that.
Is it really possible that they...