Stroke and line width are the issue when generating this art. LightBurn is for laser cutting design and does not support the concept of a “width” to the line. The width of a line is the size of the beam. Stroke is like a mask applied to the line and must be converted to paths first.
Did you get a chance to look at the ‘Perforation’ mode in the ‘Cut Settings Editor’ stuff I provided above? You could change the format of your dashed lines from within AI to remove the Stroke and set the width to 0.01 or so (beam width small 
) and set them all to a unique color to make it easier to import them all on the same layer in LightBurn. Export that version of your file for use in LightBurn.
Import that file and set the layer containing those ‘desired to be dashed’ lines to ‘Perforation’ mode, adjusting the “cut and skip” as needed to produce the dashes automatically when the job is run. When using this, and most everything in LightBurn, ‘Preview’ is you friend.