I would doubt it could stream sufficiently fast in real time.
There are some significant limitations of the I2C and other serial decoders, I mention them here
http://youtu.be/HxpSYlnEDos but mostly it's that it only decodes small sections at a time, and occasionally it gets it slightly wrong too. I did consider fiddling around with sigrok and post-processing that way but never got around to properly gluing anything together.
However the real time I2C trigger does work flawlessly. Depending on what you're doing you may find this sufficient for your needs, but it is a different workflow to the post-processing you might have been doing with your PC based LA.
The screen is quite small so getting all those digital channels reasonably readable you might find difficult.
However it is a good all round unit for the money. I do have a Logicport and I can't remember the last time I got that out now I have an MSO, but as mentioned it's a different kind of workflow to messing about with a PC based instrument, and I prefer using the MSO personally. You will probably find on serial buses that you won't bother with the digital channels anyway.