Yep, I had this done before moving to my current place and am now finally getting around to repainting each room in turn. I got quotes for a few options, this skim coating over the popcorn, putting new drywall below it, and full scraping/removal and then skim coating. This was the cheapest option, though adding an extra layer of drywall wasn't much more - but it would have lowered the ceilings perceivably, whilst the skim coat is really only taking off maybe 10mm from the total height of the room - totally unnoticeable.