@Jim. Good remark and relevant question. "Reconnection", I'm afraid, belongs to the jargon of the Connectors tribe, and you make me think I should add a definition to the dedicated section at
https://www.wikitree.com/wiki/Space:Connection_Facts#Vocabulary
Yes "reconnection" could seem to imply there has been a previous "disconnection". The way I use it here is quite different. It means that between two profiles which were already connected (to each other and to the Main Tree), a new and shortest path has been discovered and added.
Disclaimer : I'm not a native English speaker, and had not thought, until you mentioned it, it could have been understood otherwise.
I have been tempted to call that kind of event a "circles collapse" (like in "pedigree collapse") because its neat result, seen from any "focus" profile, is pulling inwards a certain number of profiles, down e.g., from C10 to C7, whatever.
[edited : or simply C-Collapse, with the leading C standing for "Circle" or "Connection"]