All gas burners will get "out of tune" over time - i.e., the air-to-fuel ration will shift as the burner becomes sooty or oxidized. As that happens, more and more ethylene is created, which can be toxic to plants.
I had an unvented propane heater that converted a "3-season" room to year-round use, and while it was fine the first winter, after a second, the entire room and its contents were covered in a think layer of soot. It wasn't noticeable until you washed a white surface, then "WOW! Because of that, I would not use an unvented heater again, in the home or the greenhouse.
That said, if it is quality heater and is cleaned and adjusted periodically, it's probably OK. I suppose part of the equation is how leaky the greenhouse is...
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