It really was 1731. New Year’s Day had been March 25. Eleven days separate February 11, 1731 from February 22, 1732.
From the source you cited:
Britain amended its calendar in 1751 and 1752. First, it decreed that 1752 begin on Jan. 1 rather than March 25, meaning that the year 1751 lasted only nine months and 1752 lasted 15 months. It then adjusted to the Gregorian calendar by dropping 11 days in September 1752 (Sept. 3-13).
I remember my dates for Haydn (1732-1809) by the birth years of Washington and Lincoln. Fortunately, Haydn was born on March 31.