In this answer I'll assume you are analysing ADS-B data on 1090 MHz, which is the defacto global standard. I am less familiar with the ADS-B on UAT (987 MHz) which is used in addition to 1090MHz in the USA, but I assume the same logic applies.
There are no ICAO addresses assigned to TIS-B targets.
If an aircraft has an ICAO-address which is detected by ...
My question was due to the confusing mention of ADS-B in what was supposed to be either TIS-B or ADS-R.
I've now confirmed that the text on ICAO Doc 9871 Version 2 I quoted was due to a error.
In fact DO-260B, and even Doc 9871 Version 2 at table C-37 specify that TIS-B CF=4 is "Fine TIS-B message, AA field contains a 24-bit anonymous aircraft address".
TIS-B is part of the ADS-B system that will be required in class B and C airspace come 2020. The processing of traffic relevant to your aircraft is done on the ground to keep the airwaves "clean" as it would require transmission of much more data to show all aircraft and then have your local device filter it. In order for you to take advantage of your own "...
The answer is "yes" if
a) you configure your 1090 out system to request ADS-B uplink at 978 MHZ (this feature was added to the message structure in DO-260B)
b) your 1090 ADS-B out message is confirming certain minimum "quality" standards related to both the quality of the position information (GPS Integrity or "NIC") and the quality of the avionics (SDA or ...
Ground stations only send ADS-R/TIS-B messages for targets within a certain distance horizontally and vertically of ADS-B targets with the CDTI (Cockpit Display of Traffic Information, aka "ADS-B In") flag set. Assuming your CDTI flag is set correctly, the targets you're missing probably aren't close enough to qualify.
No, you will most likely not get a TIS-B service dedicated to your aircraft.
The TIS-B transmitting system creates a 'traffic puck' around aircraft that:
a) have a version 2 ADS-B transmitter,
b) transmit the proper quality indicators which indicates that the system is certified and is properly functioning, and
c) indicate in their ADS-B transmissions ...