Not sure why you’re so adamant on being against this. The previous catalyst (the literal only thing to relate this to) carried over sockets. Below is the blue post confirming sockets should be carrying over.
Q: What secondary stats (Haste, Versatility, etc.) will be on the items made by the Revival Catalyst?
A: The tier pieces all have specific secondary stats regardless of what item is put into the system, only the tertiary stats (Leech, Speed, etc.), and sockets carry over.