Let’s imagine it’s currently Wednesday the 1st. Does “next Saturday” mean Saturday the 4th (the next Saturday to occur) or Saturday the 11th (the Saturday of next week)?
If somebody says to me next Sunday I just assumed they mean the next Sunday to come around. Especially because there is a lot of ambiguity about when the week begins and ends. American software likes to default to calling Saturday the final day of the week, and Sunday the first day of the following week.
Technically “next Sunday” is the nearest Sunday (eg “sunday of next week”), however next Saturday is not (because it’s the Saturday of next week"). This assumes we all accept that Sunday is considered the start of the week - which isn’t always the case nowadays.
It’s chaos! But I’m just pointing out that there’s a wired logic to it, which I assume at some point made more sense than it does in our time.