I had to look up what "methylated spirit" was. It turns out it's just British for a non-potable, non-beverage-taxed 90% ethanol/10% methanol mixture, which we in the States call "denatured alcohol." That will work well for removing thermal paste as it is a non-polar (organic) solvent with a very low water content. Thermal paste is readily dissolved by most organic solvents but not water, so your 70% isopropyl alcohol/30% water swabs won't work very well due to the high water content.
Here are some other things I've used and have had good experience with:
1. Benzene derivatives: toluene, xylene, and mixtures of the two. The yellow cans of Goof-Off are a mixture of toluene and benzene and are my favorite for removing thermal grease. IMHO, it works the best out of anything I've tried but has a lot of fumes.
2. 91% isopropyl alcohol. This is readily available at drugstores (I think you call them chemists' shops or apothecary's shops over there in Britain) and is very inexpensive but also has a significant odor.
3. 100% ethanol, aka 200-proof or absolute ethanol (not Absolut, that's a vodka with IIRC 43% alcohol.) This works well and has a minimal odor but it is expensive due to beverage taxes and is hard to find outside of a laboratory or industrial setting.
Stuff I'd avoid:
1. Rubbing alcohol. Unless you specifically look for the 91% isopropyl alcohol, you'll get stuff that's 70% isopropyl alcohol, 30% water. It's darn near useless in removing thermal paste. You might as well just use a dry cloth.
2. Water.
3. Household cleaning solutions, most of which are >90% water.