DisplayPort: Transferring I2C data on AUX channel

I'd like to manage an I2C device via DisplayPort AUX channel. I connected an I2C device at the EDID I2C output of a DisplayPort sink. From the NIOSII of the DisplayPort source (using Cyclone V GX) I sent a I2C string with the command btc_dptx_aux_i2c_write(). In the nios2-terminal I can see the I2C data but the sent data are not given out at the sink I2C interface.

Has anyone tried to transmit I2C data from a DP source to a DP sink via AUX channel? Are there any hints how to realize such a application?