After being podded, undocking from my home station, and docking in a new station, the “Transferring Consciousness” text scrolls again, and instead of the docking animation it repeats the slow fade-in from being podded. I’m not sure if this only occurs when docking at stations in the same system as the home station I cloned to. For reference, my home station is the admin station on-grid with Jita 4-4 Trade Hub, so after I’m podded I pretty much always go right to the Trade Hub.
The first time it happened I thought I’d been killed again and would have to check the Trade Hub approach for people doing something stupid like smartbombing, but after all the animations and fade-ins finished playing I saw that I had in fact docked at the Trade Hub.