That's what I thought it meant. I didn't notice any critical hit tables so that won't be a factor.
Actually, there is a Critical Damage section of the Combat Boons table (page 123) and the columns that the player gets to purchase Critical Damage from (using the Success Levels earned in the attack) is based on the type of attack (and type of damage) that they deal.
For example, a Handaxe has a Damage Rating of 8s[/8b][/7p]. This means that the normal damage is 8 Hits of Slashing Damage (thus they can only purchase Slash Critical Damage if they earn any Success Levels.. The [/8b] and [/7p] are both types of damage that might be dealt based on how the weapon is designed. (i.e. if the back of the axe is flat or has a hammer-like head, it can also deal the 8b damage if the character chooses. If the axe has a spike on the end, it can use that to deal the piercing damage.
There are also some Randomized Critical Tables in Express Additions #2, but those build off the basics of how combat works as well