Small Aircraft; Low Wing; 1 Eng; Retractable Gear
Flight Crew Commercial
Flight Crew Last 90 Days 30; Flight Crew Total 1000; Flight Crew Type 850
Situational Awareness; Distraction; Confusion; Communication Breakdown; Training / Qualification
Conflict NMAC; Deviation - Track / Heading All Types; Deviation / Discrepancy - Procedural Clearance
Air Traffic Control Separated Traffic; Flight Crew Took Evasive Action
Human Factors; Procedure
I was leading a flight of two [warbirds] to land at ZZZ on Runway XX right which is the north runway. Runway XX left is the south parallel runway. Tower cleared us to land. I was a straight in and Aircraft Y was a go-around. Aircraft Y announced that he was breaking to land from the overhead. Tower instructed him to break left which is non-standard when landing on the right runway since it would be across the left runway and we are always instructed to break right when landing on the right runway. As I touched down I heard tower instruct Aircraft Y to break left and immediately heard tower repeat break left as the tower operator noticed that Aircraft Y was breaking right. I looked straight up through my bubble canopy and saw Aircraft Y make an immediate correction and enter the left break as instructed. At no time did Aircraft Y make more than a 10-20 degree turn before correcting.  The following day I was notified that there was a CFI with a student in a Cessna 172 in the right downwind to Runway XX right who was startled and was claiming that there was a near miss between herself and Aircraft Y although it is hard to imagine how that would be possible given that the Cessna would have been in downwind offset from the runway by quite a distance.  Since I was leading the flight of 2 aircraft and was carrying the squawk and ADS-B for the flight; I am concerned that a complaint may be incorrectly filed against me even though I had landed at the time the incident occurred.
Pilot reported that his number two aircraft broke off the wrong way and was directed by ATC to correct his heading to avoid a collision with another aircraft.