It would use medium strength because that's what I already have .In terms of threadlock, what do you use? I can see a few different options around: Bond-It A43 Threadlock (on Amazon/eBay) that seems to be oil tolerant, and then Loctite (of varying grades - but something like 2400, which is a blue medium strength).
I'm tempted by the Bond-It, because of the oil tolerance, but it's a brand I've never heard of which makes me nervous about the quality. May well just be down to my lack of knowledge though.
I have never seen a thread lock that is not tolerant to oil when cured.
You don't need much so only but a very small tube.