I think he's saying that "silicon rubber" is very gas permeable which is true when used as a membrane. The gaskets are fairly thick so the gas (air) would have to travel through a lot of material before completely permeating the material. I'm not sure how that would happen without an external force pushing the gas through it from the outside in. It's actually the opposite that would happen, CO2 would be pushed out before oxygenation would occur.
I feel better about the silicon rubber gaskets because they are easy to use, don't smell, and last longer than other types. I think those things outweigh the possible downsides. All that being said, I never bottle an entire batch in flip tops. Flip tops are usually half of every batch and I lean towards drinking those first. Any long term aging plans are done with conventional bottle caps.