I couldn't disagree with you more. A first responder class is exactly what she needs.
She will learn the exact skills in the FR class as she will the EMT class, with the exception of a few additional skills that she's not going to able to do as a lay responder. The other benefit of the EMT class vs the FR class is learning the 'why' behind the some of injuries.
Emma, a first responder course will work out best for you. The Red Cross even has this class, or as mentioned above, check out your local fire department.
Here is the thing, the MFR class is based around the idea of what to do until another level of provider shows up.
Which defaults to another provider needing to respond. In an agency like a FD where there will be other providers responding, being an MFR works out fine. (That was once my role)
My first teaching job was teaching MFR to laypersons.(The class was mostly school teachers) It really was a waste of everyone's time and money. Many were just there to hear stories. The few that did care could not be taught enough in the time alloted to even make the decision on when to call for help or not because of lack of background. They also were teaching in subrban school environments exclusively, with resources like the school nurse, 911 with a reasonable response time, etc. For that group MFR was fine. In fact it was probably overkill.
EMT will also incorperate when to call for ALS. Which demonstrates not only the skills to take care of somebody, but when it is time to call for help, not just defaulting to calling for everything. You can have a kid slash open his arm from wrist to the shoulder who may not need a 911 response ever. A doctor for certain, hopefully within about 6-8 hours but no lights and sirens and special gear required.
Is EMT overkill for the average school teacher? Sure, without a doubt.
But the average school teacher isn't hiking through a cave with teenagers who are bashing their heads on rocks either.
For the most part I agree with your opinion, but in this specific case, i stand by my original recommendation. EMT would be the best chooice. Not the only viable choice for sure, but knowing more of the "why" and not simply skills imparts not only confidence but also the ability to improvise when the "normal" resources are not available.