Except nothing about the Paradox event raids causing crashes, because of their drop tables having null materials, matters to Home.The delay in Pokemon Home definitely has to do with the recent Tera Raids crashing your game. It’s not a coincidence that they announced this after people’s games started crashing.
All Home does is look at the Pokemon on the save file. If anything would matter to that it would likely be on the actual update to the game coming next week; and even then that's focused on live competition issues.