Can KCR be used for free if I have the HK Airport Express Tourist Pass?

I plan to buy Airport Express Tourist Pass. I have searched for related information and found that MTR, Light Rail and MTR bus are included in the pass. Because I plan to explore New territories, I need to travel by KCR. The provided information indicates that East Rail Line First Class is not included. This means that KCR is included, but to use it for free, I cannot use the First class cars. Am I correct?

Thank you