This isn't the same situation, as far as I know those were all new seasons of the same series, with the same creative team, cast, and I believe all or most of them continued the previous seasons story arcs.I don't know, but it seems to be a common practice in children's TV. Remember how Justice League became Justice League Unlimited after two seasons? Similarly, Young Justice gets a new subtitle every year, and I remember Cartoon Network had a practice of restarting/retitling shows like Ben 10 every few seasons. So it doesn't seem implausible that Disney would do the same thing.
We're not really talking about reboots here, just rebrandings. DeKnight's point is that it is the same show, but the retitling allows the studio to treat it as a separate show from a contractual standpoint so that they can reset the pay levels. Regular cast and crew are supposed to get raises every year a show is in production, so treating it as a new show lets them lower the pay instead.
Based on everything we know about Born Again, it's a new series, with a new creative team, and a new story, and so far the only connection to the Netflix series is Cox and D'Onofrio, who don't even appear to be playing the same versions of their characters.