I guess things are done differently in England than they are where I live.
If the tiles were put up with mastic and then grouted, then there will be a thin layer of mastic over the plasterboard and then any grout will be sticking to that mastic.
What I've found works very well at removing old mastic is if you take a single edge razor blade and grip it in the jaws of a pair of needle nose style Vice Grip pliers, you have a very sharp all-metal tool that will take a lot of heat and that when held upside down will hold the razor blade at a near perfect angle for scraping.
Now, if you use an electric heat gun to heat that old mastic, you will soften it considerably, and you can then use that tool described above to scrape the old mastic off the wall quite quickly and easily.
In your case, will removing the old mastic also remove the grout?
Several PS's:
1. Whenever working in a tub or shower, put a piece of scrap carpet pile side down in the tub to protect it from scratches.
2. Use a short piece of twine to tie the Vice Grip tool to a leather glove you'll be wearing when holding it. That tool will get pretty hot, and you'll need a leather glove to protect your hand from the heat. Also, the twine will prevent the tool from falling and possibly chipping the surface of the tub if you drop it.
3. You can do this kind of work with a cheap electric heat gun. However if you don't have any experience using heat guns, you'll be very surprised at how useful they are in DIY work, and I'd recommend you pay more for one with electronic temperature control. Electronic temperature control will allow you to adjust the temperature so that you can strip varnish or paint off wood quickly and easily without scorching the wood. Cheap heat guns have only two settings; Hi and Lo, and that's too restrictive to be very useful in a lot of cases.