Regardless, in all those cases, it's still officially classified as one show ending and another beginning. IE, the first season of Archie Bunker's Place is considered Season 1 and not season 10 of All in the Family, If that were the plan for Disco, then this season would be hyped as the last season in promotional material. Since it's not, then it stands to reason that's not happening.Yes, that is true. It would technically be the last season of Star Trek Discovery and the launch of a new show, but the idea makes some sense with what we know at present. This has also happened with many shows before:
All in the Family ended and Archie Bunker’s Place launched (the main character stayed, but the setting changed from his family’s life to him running a bar).
The Andy Griffith Show ended and Mayberry RFD launched (the focus shifted from Andy Taylor’s family to Sam Jones’ family in the last season of TAGS, and they became the focus of the new show).
The Golden Girls ended and The Golden Palace launched (three of the four Golden Gurls buy a hotel and that becomes the premise).
I’m sure there are others that I’m not thinking of at the moment. In each of those examples, the original show ended, but the bulk of the show continued under a new name.
Also, I noticed all your examples are from shows that were long-running and probably decided to reinvent themselves by becoming a new show to bring in new viewers who didn't feel daunted by jumping into a show that was in its eighth, ninth or tenth season. The whole "Issue #1 sells more copies than issue #36" mentality that goes into comic book reboots being so frequent. Disco is only in its fourth season and by the end of it it'll only have 52 or 55 episodes. I doubt anyone in this day and age is looking at a show with less than sixty episodes and saying "I don't got time to catch up with that before the next season starts." Likewise, there's no one at Paramount+ saying "That's too much to expect someone to invest in, we need to reinvent this show."