Machines that assist you like the dip machine are not ideal. It’s kind of like the difference between a standing or a seated overhead press, or using a Smith machine vs free weights. If you aren’t strong enough to do pull ups, for example, try a regression such as flex hangs or negatives, and/or an easier exercise like Australian pull ups. This approach should get you better results overall than using machines like the ones you suggested.
However, there are some free weight exercises that are worth doing, much more so than the machines you asked about. Deadlifts, squats, standing overhead press and barbell rows are all awesome exercises that are of particular benefit for calisthenics athletes. There are other worthwhile lifts, of course, but these are all technically pretty simple and quite compound.
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