@curaga, thanks for pushing me to the right way!
The problem were wrong settings in ~/.mplayer/config. I don't know, what was wrong with them, but they broke even direct demands for "-vo fbdev" in the CLI invocation of mplayer, and influenced mplayer-cli.tcz too. I was not correcting them, i've deleted bad file and made the new one correct. The bad file was placed here by get_mplayer.sh script from get_mplayer.tcz, so, guys, if You will use this extension don't agree to write the proposed config, "optimized" for low-end computers, better make Your own config. In general, mplayer_custom.tcz from TC10 repo creates working 1.3 version of mplayer for TC11, You only need to change ncurses to ncursesw in mplayer_custom.tcz.dep file. I use CLI-only version, no OSD, no GUI.
Thanks again, this was my bad, sorry for distracting You with the silly questions.
@Rich, please mark as SOLVED, or simply delete the thread.
Regards!