1 minute a month (upper bound) is hardly a deal breaker. If you were adjusting the watch regularly without hacking (as a pilot) you'd have an error rate that's probably close to 10x higher. 10+ minutes a month WOULD make a difference.
+- 2 seconds per day is their worst case specifications (watches being stored in weird orientation, with high temperature etc.). It is common for standard usage watch to be within 10 secs monthly.