Do the birthdays of March 12 in the lunar calendar and April 13 in the new calendar meet international standards?

According to the perpetual calendar query, the Gregorian calendar date corresponding to March 12 of the lunar calendar is May 0 1 2023, and the Gregorian calendar date corresponding to April 13 of the new calendar is May 0 1 2023. The lunar calendar is a traditional calendar in China. It takes the change period of the moon phase as the length of the month, adds the "twenty-four solar terms" component of the trunk calendar, and refers to the length of the tropical year of the sun. By setting leap months, the average calendar year is adapted to the tropical year.