The ST's are a bit tricky because, while they use the usual 1/4"x28 thread, the plain part is actually 7mm (1/4" is 6.35mm) so if you're going to ream it properly you'd need a metric reamer. I just run a drill through far enough to give a clearance. If you use a tapered reamer then the prop is located by the threads which is no biggie because the threads are very accurately cut. A lot of props (APC, Master etc) come with the back end already more than large enough to fit over that plain section. All wood props have a plain hole (usually 1/4") so they definitely need to be opened out at the back.

I'd better add that with a wood prop they need to be tightened firmly but don't overdo it. And recheck the tightness fairly often because the wood will compress for a while and the nut will be looser.