CB, A very generic statement, regarding bank. For example, B777 Traffic Avoidance - RA states:
" ....(after disengaging autopilot and autothrottle etc)...Follow the planned lateral flight path, unless visual contact with the conflicting traffic require other action."
So, if you have LNAV engaged, and are approaching a turn point/commencing turn, and have a RA, continue the planned lateral track, during the RA, unless visual cues clearly dictate otherwise.
How many crews have practised that scenario in the SIM I wonder?