Debate over solar terms

The autumnal equinox, first frost and light snow in 2033 belong to August, September and1October respectively. The autumnal equinox in 2033 is on the first day of September, and the winter solstice is on 1 1 30th. If July is a leap, the autumnal equinox, including the first frost and light snow, will appear on August 1 day, September 1 day and 1 October1day, but the interval between the light snow solar term and the winter solstice is only 29 days. From the winter of 2033 to the next month, there was no great cold solar term, so it jumped to 1 1 month, so the great cold appeared on the first day of the twelfth lunar month (the great cold was1mid-February), but the later rain solar term appeared on the thirtieth of the twelfth lunar month. Although this is true, it can't jump into the first month. The rain should have been in the first month, which is precisely caused by the interval between the winter air and the lunar calendar. Although it rained in the twelfth month, the vernal equinox appeared later. So there are many leap months in summer, especially in April, May and June, and there are almost no leap months in winter 1 1, 12, 1 month, and other months are in the middle.