Have you or others tried RDWorks? I had another older problem with another laser machine, here is the discussion: Wrong cutting position.
With RDWorks it works perfectly, but I admit that I discovered a higher value in the machine’s settings. If I remember correctly, it was the starting speed. After I lowered this value, it worked well with Lightburn as well. I like the Lighburn interface a lot and I fell in love with this software, I would not want to change it and I hope I won’t have to do that.