I would tend to think that there isn't a specific formula utilized to announce a new pairing or to announce a break-up across federations. Every situation for particular skaters is different. Sometimes announcements aren't made right away when there are break-ups or new pairings. It varies depending upon the individual circumstances, particularly when differences are involved. With the advent of social media, sometimes skaters post about new partnerships or splits on Instagram, but not always.
There are all kinds of break-ups that have happened in pairs and in ice dance that have involved hurt feelings, or lack of good communication. And in the case of younger skaters, parental involvement. The break-up between Yamaguchi/Galindo comes to mind from long ago. At least many years later, there was a measure of reconciliation and healing. Rudy ended up achieving his own hard-won success, writing a well-received biography and even coaching Yamaguchi's young daughter. In the case of Duhamel/Radford, the after-retirement comeback with a different partner is somewhat unusual. Some fans are reminded of Savchenko coming back with Massot. However, Savchenko had begun considering a partnership with Massot knowing that Robin did not want to continue with eligible competition. The problem was that Robin was left high-and-dry believing he would be skating in shows with Aliona. Although some fans remarked on Robin's dilemma, there wasn't a huge outcry or outpouring of sympathy for Robin. Fortunately, Nina Mozer reached out to offer Robin a coaching position, which was helpful. I wonder what Robin is doing now, after the U.S. fed-orchestrated engagement with him working with Meno/Sand's group in Irvine, did not seem to pan out.
It is interesting that Meagan confirmed she learned from her coaches in 2014 that Eric had been interested in exploring a partnership with Aliona after the 2014 Sochi Olympics, when Robin was definitely known to be retiring. At that point, Aliona already had her eyes set on Bruno Massot, who had been training with Daria Popova under coach, Ingo Steuer, along with Aliona & Robin. So apparently, Eric had been thinking early on about exploring a different direction. I wonder if Meagan ever spoke to Eric about that particular exploration. Obviously, D/R overcame whatever the hiccough was about and continued to focus on improving together. They ended up winning Worlds twice (2016, 2017). Then, D/R seemed to hit a point of needing to come up with fresh ideas. That's around the same time when James/Cipres broke out under a new coaching team with some great programs and renewed energy and focus.
Meagan was eager to gain some inspiration in Zimmerman's camp, which led to the break-up between Bruno Marcotte and Richard Gauthier. Who knows, perhaps that foray into the Zimmerman camp led to some minor conflict with Julie Marcotte too, who was D/R's choreographer of record at the time. In the Zimmerman camp, D/R worked with Zimmerman and staff on choreo, but D/R later returned to a former program by JMarcotte that same season, if I'm not mistaken.