More likely, the integrity of the packing in the household faucet filters is damaged by hot water, or the other components of the filtration system are heat sensitive. This is not a chemical explanation.
Try to realize that absorption onto these exchange media (the carbon particles and the other media in the faucet filter) is an equilibrium process. The filter doesn't hold things forever in some never-land space. Once on the surface, things can come off. When there are traces of contaminants in the water, and the media is new, practically all sticks to the media. As the media gets full, it may start to leach contaminants out. I can't prove it, but its reasonable to assume that at higher temps, all such reactions happen faster -- adsorbing and releasing.