Yes, that one should work.
I was putting the info below together as you were posting the information above. Hopefully it can be helpful to others that are reading this thread...or may come across it in a future search.
The label on the TCU should give enough info to determine if it's compatible with your BMW. The older generation BMWs (like the e39/e38/e53) communicates telephone/bluetooth data over the I-bus. The newer generation BMWs (like the e60/e65/e70) communicates telephone/bluetooth data over the MOST bus...and this info should be visible on the TCU's label.
The two pics below shows a TCU designed for the MOST bus...and the other a TCU designed for the I-Bus: