The damage equation adds +1 to each attack, so that even very weak attackers inflict at least 1 damage. This has stronger proportional benefit for weak attacks. The True DPS on the pages is calculated assuming that the defending Pokemon has 100 defense. Depending on the exact numbers of the attacker stats, for very similar values he might be just above or below an integer value, in which case flooring will make a large difference.
See the damage mechanics page for details.