If you're hearing differences as a result of a binding post change, I don't think it's a burn-in issue. I would think it's a more like a cable/interconnect change issue. So, for example, people swap a copper interconnect for a silver one, or a solid wire for a multi-stranded one and hear differences. It would seem that the different binding post itself is the cause of the difference, not whether it's burned in or not. Not unlike changing connectors. Using minimum metal connectors like WBT NexGen or Eichmann's makes a difference to many people. So why wouldn't alternative binding post construction? It's a connection interface the same as a cable connector.
If you don't like how they sound, change them back.
If you don't like how they sound, change them back.