Another test (with giving the sim ample time for generating traffic) at EDDF with the PMDG 737-700 and FBW A32NX Developer Version: 07674ec
Updated the 737-700 to 3.0.56 (previous test was with 3.0.49
)
I don’t think there was a TCAS bug/issue in the previous version but re-tested with newer version.
AI Offline (Multiplayer: Off) - Traffic on TCAS: Yes
Live Traffic (Multiplayer: Off) - Traffic on TCAS: Yes
And back on topic with the FBW A320:
AI Offline (Multiplayer: Off) - Traffic on TCAS: No
Despite setting 100% AI traffic - noticed aircraft in the vicinity - nothing on the TCAS.
Changed back and forth with this setting between the B737 and A32N - and with the B737 TCAS traffic was quick to show with the same traffic setting.
Live Traffic (Multiplayer: Off) - Traffic on TCAS: Yes

As of now, according to the FBW Known Issues of the TCAS -
No support for offline AI traffic (sim limitation)
I would assume the documentation is about the stable version of the FBW A32NX.
So there remains a number of issues with traffic being shown on the TACS; also ground traffic.
According to the documentation; there is also no support for multiplayer traffic on the TCAS for the A32NX as well and related issues with the weather, issues with traffic and more, so I recommend checking out the site above with details on these known issues…
…and to FSLTL - counted as AI traffic in the sim but tests with FSLTL would help, might also not be supported on the TACS - if it is the same issue - as AI default traffic with the FBW A32NX.
I did this test with default traffic, to check if this is even working.
When doing the tests with FSLTL, the recommended settings is to have traffic off but it is possible to have this on with sim AI or live traffic, which could generate traffic, were live traffic would be on the TCAS (but not from FSLTL) while still using FSLTL.