Coordination
Maintain Vertical Speed is a 'preventative' RA, i.e. it stops the aircraft in question from getting any closer to the intruder.
Corrective RAs (e.g. 'Climb') change the flight path to move it further away.
There is different vertical thresholds for each type, based on Altitude Layer.
e.g. at low level:
Corrective threshold: 300'
Preventative threshold: 600'
So, if TCAS predicts you will pass >600' vertically at the time that you are closest horizontally, you get no RA.
If prediction <600', but >300' then you get a preventative RA stoping you manoeuvering any closer.
If prediction <300', you get a corrective RA to move you away.
Generally, since both boxes work to the same thresholds, if you have a preventative, the other aircraft will as well. Similarly, if you have a corrective, so will the other aircraft.
Generally, but not always.
Alternate scenario 1.
If one aircraft has high vertical rate, greater than the magnitude of an RA that can be issued, then it obviously can not be moved any further in that sense. It which case it has to be 'prevented' whilst the other aircraft is corrected out of its way.
Ultimately, if both aircraft have very high rates, in the opposite sense, the system can get painted into a corner which is why it is only certified for 10,000 fpm rates of vertical closure ('only' - hah!)
Alternate scenario 2.
If both aircraft are inhibited in the same sense (e.g. both at low rad alt, so descent impossible) one aircraft gets a monitor vertical speed RA, with red arc saying not to climb. Other aircraft get the corrective RA.
TCAS Version
TCAS I is a TA only system.
TCAS II is a vertical RA system, with coordination if other aircraft is TCAS II.
ASFKAP
Think you might be referring to major software revisions within TCAS II. Specifically, v6.04 versus v7.0.
Incidentally, one of the big 'behind the scenes' changes from 6.04 to 7.0 is how coordinated RAs are handled. See other threads.
CPB