This is correct, for "a hall of a long time".
Precisely they start charging $1 per payment period (every 2weeks) if your account had been inactive (no sales) for 6 payment periods (12weeks). If this makes your balance reach $0, your account is eventually terminated. This is in their TOS.
But actually, as OTrap said, this is a non-issue for regular affiliate. Most of those who experience this are not even aware of it, because they forgot about / gave up their CB account a long time ago.