A321 Captain reported a rejected takeoff after a significant yaw was experienced; caused by excessive winds.

Narrative

Slightly below V1; the aircraft had an uncommanded yaw to the right similar to that experienced in simulator engine failure training. Instinctively; I initiated the reject. Shortly after initiation; I heard the FO (First Officer) call out 'V1.' I used full reverse and the auto-brakes engaged at max. We slowed to a taxi speed straight ahead on the runway and exited onto the parallel taxiway. I made a PA to the passengers briefly explaining the situation; but missed the 'Remain Seated' PA because I forgot that it applied to a Rejected Take-Off as well as an evacuation that was subsequently cancelled. We stayed on Tower frequency initially; but then switched to a discreet frequency to communicate with ARFF (Airport Rescue and Firefighting). I had ARFF inspect the plane for any damage. Initial contact with them was a little confusing as we seemed to be missing each other on the new frequency. Eventually; I was able to talk to ARFF and they found some wear on the number 4 tire; but no other aircraft damage. Due to this communication confusion as well as coordinating with ARFF; I didn't contact the flight attendants until the number 1 called me to ensure that we were remaining onboard. He was very calm and was just checking on the situation.We coordinated with ARFF; ZZZ1 Operations; and Ground to taxi back to the gate. Brake temps peaked at 575 [degrees] and cooled quickly after turning on the brake fans. Maintenance met us at the gate and determined that no aircraft faults were present and that the number 4 tire required changing and suspected the wear was from the abort.My assumption after the fact is that the yaw was caused by a wind gust; but the magnitude was beyond anything I've ever experienced hence the split-second decision to abort. In retrospect; the instinctual nature of my to abort decision is a little surprising and a testament to our training. In that kind of a situation; there is no time to analyze and it's good to know that the reactions trained into us lean on the side of safety. [This was] gusty winds that exceeded my previous experience.