Ben, corporations can lie to suit their particular agenda.
While one cannot say this is a lie, reality, rules and legislation would seem to indicate so. Some to whom you speak are far more connected than you assume, they are only trying to assist you to make an informed decision.
Delve a little deeper into the operations of the erroneously listed companies, there upon lies your answer. Some multi engine command time MAY be available, though only through one of the operators. Compare the amount of work this sole operator presently completes with the number of cadets annually.
Friendly piece of advice:- Loose the attitude, it will get you no where.