Not sure how anyone would know without knowing what type texture it is.
Got a picture?
Got a picture?
NO NO NO NO NO Even if its only 1/4' drywall nothing will fit or look right window casing, door casing, outlets, switches. Now you have to tape and mud where the wall meets the ceiling, all the drywall seams. If you have one of those medicine cabinets that are flush with the wall it will have to be remounted.Have you concidered going over it with 1/4 drywall?
I just hate skim coating.