I don’t think I’ve seen activated carbon deflation rate linked to bacterial growth before.
I mean, does get clogged after a while, but it’s not just bacteria that grows there, but all kind of other stuff with larger particle size, as well as larger organisms and just plain dirt.
The other side of this is that a large amount of activated carbon can indeed deplane faster, because outside the toxics that it would remove, it’ll also bound to other useful trace elements from the system and will keep doing so until it’s depleted.
That means that of the ratio of toxics to trace elements is low (and it is), once the toxics are ran out it’ll mostly bound just traces.
I guess given both of these points, it doesn’t make much sense to keep 6 month worth of carbon in tank, but to split it to about a month’s worth portions and replace it when the water turn slightly yellow, which is the current consensus in the hobby.