The leap secons which are occasionally taken on December 31 don’t compensate for the difference between the solar year (365.24219 days) and the Gregorian calendar (365.2425 days). This difference is 0.00031 days per year, or 26.784 seconds. The leap seconds are used to take into account other irregularities in the rotation of the Earth.
It would be feasible to align the Gregrian calendar to the solar year if we had a leap rule which takes account of these 26.784 seconds per year. You could, for example, take a leap minute. Four leap minutes over the course of nine years would be close, for example (9 * 26.784 = 241.056, only slightly more than four minutes), but I’m sure someone could come up with a better solution to this than I came up with in a short calculation. My point is: The occasional leap second once every few years won’t save the problem, it will take more than this. And I think these extended solutions with leap minutes would be enough to cause some trouble., definitely more than the leap seconds we are accustomed to do.