A bigger problem is that school is intended to reinforce the social order. If schools taught students how to resist cops and lawyers, government would find maintaining power to be more difficult.

Another angle is skills versus facts. I probably don’t need to know the year in which Shakespeare wrote (a fact) but I certainly do benefit from understanding how Shakespeare could simultaneously persuade upper-class and lower-class people.

Regarding skills, many people need the skills of attention to detail and long-term preparation of projects. Building a ship in a bottle might teach more than the umpteenth celebration of Harriet Tubman. Building software without LLM assistance and debugging it by hand would probably be good preparation for lawyers.