You can choose what stats you want trained within reason, but each director is limited to the job positions available for that company, and each job position has a set primary and secondary stat.
So using an adult novelties for example, since that is a popular one to buy trains from. If you want your manual to be trained as primary and intel trained as secondary, or vice versa. That just isn't an option. So yes, you could then leave because they are unable to train the stats that you are wanting, but you probably should've done your research beforehand and not wasted your, as well as the directors, time.
So, @OP make sure there is a job position with the primary and secondary stats that you want trained as an option in the company before joining it, and especially before implying that the director is being dishonest for not providing it.