The difference between a new season vs. an additional cour of the same season often just depends who you ask. Different databases will have it presented in different ways. The AniList api presents this as the second cour of the first season, so that is how rikka sees them. The first batch and second batch share the same AniList id number, so there isn’t any way to separate them in rikka’s database since the AniList id number is the unique identifier for each show and the database doesn’t allow multiple (show, episode #) listings due to a uniqueness constraint in the SQL.

So, short answer to your question is that, like most software issues, it could be solved. However, it would basically require completely rewriting rikka from the database up and finding a different api to pull from.