Chest-level and eye-level are subjective heights. It depends somewhat on the camera in use.
For example, if I am using a long telephoto lens and trying to shoot birds in flight, then the lens goes onto the tripod head and the camera attaches to the back of the lens. The whole camera end of that is sticking out a foot behind the tripod head, and you need a big gimbal head for that. As you elevate the front of the lens, the back of the camera will drop down. As a result of that, you need to have a tripod that will elevate to slightly above eye level. Either that or else you will have to bend over to get your eye down to the camera, and that isn't practical for long. I find the articulated rear display to be inferior to the optical viewfinder.
If I am using a normal lens camera, I might be trying to shoot a shot of me on top of some peak. There, it is ideal if the camera height is roughly the same as eye height. My lightweight tripod isn't that tall, but at least it gets to chest height, so that works.
Lately I have shifted over to a small sensor camera, so I don't need the massive length of the big telephoto lenses, so I don't need the massive tripod. For backpacking, I can go with an entire rig with all parts that adds up to less than 3 pounds, and that includes remote cord, spare batteries, polarizer, tripod, etc.