While literally the case from what is described, it's clear that a consensual (by employment) message forwarding service happening to forward received scams/spams is quite different to actually scamming/spamming.
I guess it's unlikely that one can make this consent clear to Twilio, though, and if the messages aren't distinguishable then they might still get seen and reported as spam by the employee, with all the bad reputation that can cause for all involved.