Can you run out of high value treat options?

My current puppy only works for high value treats when out of the home. In home I use a different flavor kibble. Out of the home use freeze dried liver, real meats, cheese. My current adult dog is extremely food motivated so I never need to use the typical high value ones and can use whatever . If I am using chicken thigh, for example, outside lf the home, will my super high value treats eventually become low value to the puppy?

My concern is with training, I will eventually run out of treat options that are high value enough for him. Toys are hit or miss depending on the day. He really has to be motivated to want to work which is completely unlike my current adult, despite being closely related. Tips or thoughts?