The second season has Kaori directing the series and that Bibury Animation Studio has taken over the production for it.
The winter 2019 anime series Quintissential Quintuplets revealed back in May 2019 that a second season was coming and that arrived with January 7th, 2021 debut for it on TBS.
We learned at the end of March 2021 that a third season is coming as a sequel season has gotten the green light.
No details as to why the shift has happened or if it changes who will be involved in the production from the TV series.