Collimation problems
Because zoom binoculars use moving lens elements in each eyepiece, each image will shift slightly in some direction as the lens elements move. This would not be noticeable with just one eyepiece, but because a binocular uses both eyes, collimation (the alignment between the two telescopes to each other) changes slightly (sometimes more than slightly) as the zoom lever moves from one end of the magnification range to the other. The image shift typically moves the opposite way as the direction of the zoom lever changes. The result is a binocular that is never in “perfect” alignment. As magnification increases, good alignment becomes increasingly important. Compounding this problem is the magnification synchronization problem mentioned previously.
Zoom binoculars FOV (field of view)
Due to the inherent design limitations of using moving elements within a zoom eyepiece, the field of view at the low end of the magnification range is going to be severely limited compared to a fixed-power binocular. One reason people choose low-magnification binoculars is because they offer a wide FOV- but viewing through zoom binoculars at low power is like having tunnel-vision. Compare the following FOV’s between zoom and fixed-power binoculars-
10-30×60 zoom, FOV at 10x- 3.4°
10x60 fixed-power, FOV- 5.7°
12-36×70 zoom, FOV at 12x- 3.2°
12x60 fixed-power- FOV- 5.7°
25-125×80 zoom, FOV at 25x- 1.25°
25x100 fixed-power, FOV- 2.5°

So you can see that zoom binoculars at the low end of the magnification range sacrifice as much as half of the field of view of fixed-power binoculars at the same magnification. In general, the higher the upper level of zoom magnification, the smaller the FOV at the low end of the range.
Marketing hype
Manufactures push the magnification levels of their zoom binoculars to unrealistic levels in an effort to make their product appear to be the most “powerful”, therefore “the best”. Some zoom binoculars zoom to impossibly-high magnifications- some even over 100x! Not only will the image quality be very much degraded at these levels, good alignment is hopeless. In general, a zoom binocular that has upper magnification greater than half of the objective diameter in millimeters (eg. the “60” in 10-30×60), is more of a novelty (toy) than a usable optical instrument. Some manufactures label these “military binoculars”, which is deceptive marketing hype. Here’s an example of a 20-140×70 “Military Zoom Binocular”. No military would ever use zoom binoculars, let alone models that zoom to such ridiculous magnifications. The hype doesn’t stop there- this importer also claims that “only one factory possesses the technology to manufacture binoculars that can zoom up to 140 times closer!” This is probably the same factory that possesses the technology to double your gas mileage and horsepower by clipping a magic device to your fuel line. Not only that, “70 times more light comes into its gigantic 70mm lens”! These hucksters are clueless…