I think this is provably the wrong interpretation purely from the official FAQ (page 11):
Tori Hanzō
• The first net damage can be prevented/avoided before Tori Hanzō’s replacement ability resolves.
• If the first instance of net damage is prevented by another effect or replaced with Tori Hanzō’s own effect, Tori Hanzō cannot trigger for the remainder of the run.
If we were to use this interpretation of the CTM/Slums ruling, we have to apply the same logic here. Since Slums wasn’t a ‘real’ trash (it was replaced by removing from the game), so the logic goes, CTM fires on the next trash. But we have the same argument with almost identical wording for Tori.
After Tori has been used once, the runner takes more net damage - since the first net damage wasn’t ‘real’ net damage (it was replaced by Tori’s effect causing brain damage), Tori must fire on the second net damage of the turn too!
The FAQ shows that this interpretation is inconsistent and therefore wrong. The correct interpretation is that ‘the first net damage’ meets the trigger condition for Tori even if it is replaced or prevented, and that the first time a player ‘pays the trash cost of an accessed card’, CTM meets its trigger condition even if the trash is replaced or prevented.