Who ever made the above statement had no idea what they were talking about. Every 823 years? Really?

The exact same occurrence of 4x each day will happen again in Feburary 2021, and again in February 2022, and again in February 2023. In fact, I think you will find that every February, except during a leap year, will have the exact same number of days (4 of each S, M, T, W, T ,F, and S).