I posted a pic ( below) of a plaster ceiling that was rolled with crappy roll on texture a while back. I scraped off what I could of the tex ( is like hard rubber- just got the tips), screwed the loose plaster and cracks back to the lath with sheetrock screws, mesh taped the cracks, skimmed twice with setting (powdered) mud and then topped with Plus 3 for sanding.
It's still a plaster ceiling, not sheet rock ( which is why I was given the job over 2 guys that were going to rock)
Nice transformation I ( and the client) think.
It can be done.