Relative mode should be the equivalent of running with Z disabled, as long as you don’t have Z offsets specified anywhere. Basic operation is like this:
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With Z disabled, no Z moves are ever emitted, with the exception of the Z jogging buttons in the move panel
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With Z enabled, relative mode off, the “Material (mm)” setting is the baseline height for the job. Your Z will move to that height initially, and other moves will be based on that.
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With Z enabled, relative mode on, the “Material (mm)” setting is ignored and the current machine height is read from the controller and used instead, unless it cannot be read, in which case it falls back to the Material (mm) setting with a warning.