The greenboard is not acceptable at all with that joist spacing, Diane, even if it's 5/8ths greenboard. Greenboard tends to sag on ceiling applications, which is why the code-required joist spacing is closer for its use.
And all half-inch CBU has a maximum spacing of 16 inches on center.
Regular 5/8ths inch sheetrock is acceptable for ceilings with max 24 inch spacing, but tiling on it is a little questionable to my mind.
I think the easiest thing for you to do is remove the greenboard and add joists between the existing in the area to be tiled. This shouldn't be a big chore and then you can pewt anything you wanna pewt up there.
My opinion; worth price charged.